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Finding the Fourth Proportional to 7,284,564.80, 10,933,456.80 and 3,692,830.40

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Solution

The fourth proportional to 7,284,564.80, 10,933,456.80 and 3,692,830.40 is: 5,542,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,564.80 : 10,933,456.80 = 3,692,830.40 : x
  2. Step 2: Convert to fraction form
    7,284,564.80/10,933,456.80 = 3,692,830.40/x
  3. Step 3: Cross multiply
    7,284,564.80x = 10,933,456.80 × 3,692,830.40
  4. Step 4: Simplify right side
    7,284,564.80x = 40,375,401,648,126.72
  5. Step 5: Solve for x
    x = 40,375,401,648,126.72/7,284,564.80
  6. Step 6: Final answer
    x = 5,542,596.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.