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Finding the Fourth Proportional to 10,654.56, 15,989.52 and 4,082.40

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Solution

The fourth proportional to 10,654.56, 15,989.52 and 4,082.40 is: 6,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.56 : 15,989.52 = 4,082.40 : x
  2. Step 2: Convert to fraction form
    10,654.56/15,989.52 = 4,082.40/x
  3. Step 3: Cross multiply
    10,654.56x = 15,989.52 × 4,082.40
  4. Step 4: Simplify right side
    10,654.56x = 65,275,616.45
  5. Step 5: Solve for x
    x = 65,275,616.45/10,654.56
  6. Step 6: Final answer
    x = 6,126.54

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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.