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Finding the Fourth Proportional to 10,538.52, 15,808.84 and 3,042.27

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Solution

The fourth proportional to 10,538.52, 15,808.84 and 3,042.27 is: 4,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.52 : 15,808.84 = 3,042.27 : x
  2. Step 2: Convert to fraction form
    10,538.52/15,808.84 = 3,042.27/x
  3. Step 3: Cross multiply
    10,538.52x = 15,808.84 × 3,042.27
  4. Step 4: Simplify right side
    10,538.52x = 48,094,767.27
  5. Step 5: Solve for x
    x = 48,094,767.27/10,538.52
  6. Step 6: Final answer
    x = 4,563.71

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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.