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Finding the Fourth Proportional to 10,296.56, 15,444.68 and 2,505.34

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Solution

The fourth proportional to 10,296.56, 15,444.68 and 2,505.34 is: 3,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.56 : 15,444.68 = 2,505.34 : x
  2. Step 2: Convert to fraction form
    10,296.56/15,444.68 = 2,505.34/x
  3. Step 3: Cross multiply
    10,296.56x = 15,444.68 × 2,505.34
  4. Step 4: Simplify right side
    10,296.56x = 38,694,174.59
  5. Step 5: Solve for x
    x = 38,694,174.59/10,296.56
  6. Step 6: Final answer
    x = 3,757.97

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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.