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Finding the Fourth Proportional to 10,874.75, 15,007.17 and 5,906.75

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Solution

The fourth proportional to 10,874.75, 15,007.17 and 5,906.75 is: 8,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.75 : 15,007.17 = 5,906.75 : x
  2. Step 2: Convert to fraction form
    10,874.75/15,007.17 = 5,906.75/x
  3. Step 3: Cross multiply
    10,874.75x = 15,007.17 × 5,906.75
  4. Step 4: Simplify right side
    10,874.75x = 88,643,601.40
  5. Step 5: Solve for x
    x = 88,643,601.40/10,874.75
  6. Step 6: Final answer
    x = 8,151.32

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