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Finding the Fourth Proportional to 10,471.17, 15,707.23 and 3,356.13

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Solution

The fourth proportional to 10,471.17, 15,707.23 and 3,356.13 is: 5,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.17 : 15,707.23 = 3,356.13 : x
  2. Step 2: Convert to fraction form
    10,471.17/15,707.23 = 3,356.13/x
  3. Step 3: Cross multiply
    10,471.17x = 15,707.23 × 3,356.13
  4. Step 4: Simplify right side
    10,471.17x = 52,715,505.82
  5. Step 5: Solve for x
    x = 52,715,505.82/10,471.17
  6. Step 6: Final answer
    x = 5,034.35

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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.