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Finding the Fourth Proportional to 10,490.92, 15,736.88 and 3,471.56

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Solution

The fourth proportional to 10,490.92, 15,736.88 and 3,471.56 is: 5,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.92 : 15,736.88 = 3,471.56 : x
  2. Step 2: Convert to fraction form
    10,490.92/15,736.88 = 3,471.56/x
  3. Step 3: Cross multiply
    10,490.92x = 15,736.88 × 3,471.56
  4. Step 4: Simplify right side
    10,490.92x = 54,631,512.14
  5. Step 5: Solve for x
    x = 54,631,512.14/10,490.92
  6. Step 6: Final answer
    x = 5,207.51

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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.