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Finding the Fourth Proportional to 10,287.46, 15,428.49 and 3,712.42

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Solution

The fourth proportional to 10,287.46, 15,428.49 and 3,712.42 is: 5,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.46 : 15,428.49 = 3,712.42 : x
  2. Step 2: Convert to fraction form
    10,287.46/15,428.49 = 3,712.42/x
  3. Step 3: Cross multiply
    10,287.46x = 15,428.49 × 3,712.42
  4. Step 4: Simplify right side
    10,287.46x = 57,277,034.85
  5. Step 5: Solve for x
    x = 57,277,034.85/10,287.46
  6. Step 6: Final answer
    x = 5,567.66

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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.