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Finding the Fourth Proportional to 10,310.38, 15,456.38 and 5,042.54

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Solution

The fourth proportional to 10,310.38, 15,456.38 and 5,042.54 is: 7,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.38 : 15,456.38 = 5,042.54 : x
  2. Step 2: Convert to fraction form
    10,310.38/15,456.38 = 5,042.54/x
  3. Step 3: Cross multiply
    10,310.38x = 15,456.38 × 5,042.54
  4. Step 4: Simplify right side
    10,310.38x = 77,939,414.41
  5. Step 5: Solve for x
    x = 77,939,414.41/10,310.38
  6. Step 6: Final answer
    x = 7,559.32

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