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Finding the Fourth Proportional to 7,244.80, 10,860.72 and 3,784.48

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Solution

The fourth proportional to 7,244.80, 10,860.72 and 3,784.48 is: 5,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.80 : 10,860.72 = 3,784.48 : x
  2. Step 2: Convert to fraction form
    7,244.80/10,860.72 = 3,784.48/x
  3. Step 3: Cross multiply
    7,244.80x = 10,860.72 × 3,784.48
  4. Step 4: Simplify right side
    7,244.80x = 41,102,177.63
  5. Step 5: Solve for x
    x = 41,102,177.63/7,244.80
  6. Step 6: Final answer
    x = 5,673.34

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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.