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Finding the Fourth Proportional to 7,734,698.40, 11,590,988.40 and 5,697,040.80

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Solution

The fourth proportional to 7,734,698.40, 11,590,988.40 and 5,697,040.80 is: 8,537,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734,698.40 : 11,590,988.40 = 5,697,040.80 : x
  2. Step 2: Convert to fraction form
    7,734,698.40/11,590,988.40 = 5,697,040.80/x
  3. Step 3: Cross multiply
    7,734,698.40x = 11,590,988.40 × 5,697,040.80
  4. Step 4: Simplify right side
    7,734,698.40x = 66,034,333,827,126.72
  5. Step 5: Solve for x
    x = 66,034,333,827,126.72/7,734,698.40
  6. Step 6: Final answer
    x = 8,537,415.48

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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.