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Finding the Fourth Proportional to 8,306.92, 11,462.68 and 5,119.74

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Solution

The fourth proportional to 8,306.92, 11,462.68 and 5,119.74 is: 7,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.92 : 11,462.68 = 5,119.74 : x
  2. Step 2: Convert to fraction form
    8,306.92/11,462.68 = 5,119.74/x
  3. Step 3: Cross multiply
    8,306.92x = 11,462.68 × 5,119.74
  4. Step 4: Simplify right side
    8,306.92x = 58,685,941.30
  5. Step 5: Solve for x
    x = 58,685,941.30/8,306.92
  6. Step 6: Final answer
    x = 7,064.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.