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Finding the Fourth Proportional to 7,432, 10,254.47 and 5,042.29

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Solution

The fourth proportional to 7,432, 10,254.47 and 5,042.29 is: 6,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432 : 10,254.47 = 5,042.29 : x
  2. Step 2: Convert to fraction form
    7,432/10,254.47 = 5,042.29/x
  3. Step 3: Cross multiply
    7,432x = 10,254.47 × 5,042.29
  4. Step 4: Simplify right side
    7,432x = 51,706,011.54
  5. Step 5: Solve for x
    x = 51,706,011.54/7,432
  6. Step 6: Final answer
    x = 6,957.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.