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Finding the Fourth Proportional to 10,581.74, 15,874.14 and 5,648.68

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Solution

The fourth proportional to 10,581.74, 15,874.14 and 5,648.68 is: 8,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.74 : 15,874.14 = 5,648.68 : x
  2. Step 2: Convert to fraction form
    10,581.74/15,874.14 = 5,648.68/x
  3. Step 3: Cross multiply
    10,581.74x = 15,874.14 × 5,648.68
  4. Step 4: Simplify right side
    10,581.74x = 89,667,937.14
  5. Step 5: Solve for x
    x = 89,667,937.14/10,581.74
  6. Step 6: Final answer
    x = 8,473.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.