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Finding the Fourth Proportional to 10,471.17, 14,449.68 and 5,754.54

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Solution

The fourth proportional to 10,471.17, 14,449.68 and 5,754.54 is: 7,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.17 : 14,449.68 = 5,754.54 : x
  2. Step 2: Convert to fraction form
    10,471.17/14,449.68 = 5,754.54/x
  3. Step 3: Cross multiply
    10,471.17x = 14,449.68 × 5,754.54
  4. Step 4: Simplify right side
    10,471.17x = 83,151,261.55
  5. Step 5: Solve for x
    x = 83,151,261.55/10,471.17
  6. Step 6: Final answer
    x = 7,940.97

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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.