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Finding the Fourth Proportional to 10,143.38, 15,202.82 and 5,751.74

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Solution

The fourth proportional to 10,143.38, 15,202.82 and 5,751.74 is: 8,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.38 : 15,202.82 = 5,751.74 : x
  2. Step 2: Convert to fraction form
    10,143.38/15,202.82 = 5,751.74/x
  3. Step 3: Cross multiply
    10,143.38x = 15,202.82 × 5,751.74
  4. Step 4: Simplify right side
    10,143.38x = 87,442,667.91
  5. Step 5: Solve for x
    x = 87,442,667.91/10,143.38
  6. Step 6: Final answer
    x = 8,620.66

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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.