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Finding the Fourth Proportional to 10,538.16, 15,808.08 and 2,747.04

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Solution

The fourth proportional to 10,538.16, 15,808.08 and 2,747.04 is: 4,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.16 : 15,808.08 = 2,747.04 : x
  2. Step 2: Convert to fraction form
    10,538.16/15,808.08 = 2,747.04/x
  3. Step 3: Cross multiply
    10,538.16x = 15,808.08 × 2,747.04
  4. Step 4: Simplify right side
    10,538.16x = 43,425,428.08
  5. Step 5: Solve for x
    x = 43,425,428.08/10,538.16
  6. Step 6: Final answer
    x = 4,120.78

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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.