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Finding the Fourth Proportional to 7,549.38, 10,395.88 and 7,385.61

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Solution

The fourth proportional to 7,549.38, 10,395.88 and 7,385.61 is: 10,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.38 : 10,395.88 = 7,385.61 : x
  2. Step 2: Convert to fraction form
    7,549.38/10,395.88 = 7,385.61/x
  3. Step 3: Cross multiply
    7,549.38x = 10,395.88 × 7,385.61
  4. Step 4: Simplify right side
    7,549.38x = 76,779,915.29
  5. Step 5: Solve for x
    x = 76,779,915.29/7,549.38
  6. Step 6: Final answer
    x = 10,170.36

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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.