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Finding the Fourth Proportional to 8,327.81, 12,502.69 and 7,640.12

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Solution

The fourth proportional to 8,327.81, 12,502.69 and 7,640.12 is: 11,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.81 : 12,502.69 = 7,640.12 : x
  2. Step 2: Convert to fraction form
    8,327.81/12,502.69 = 7,640.12/x
  3. Step 3: Cross multiply
    8,327.81x = 12,502.69 × 7,640.12
  4. Step 4: Simplify right side
    8,327.81x = 95,522,064.08
  5. Step 5: Solve for x
    x = 95,522,064.08/8,327.81
  6. Step 6: Final answer
    x = 11,470.25

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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.