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Finding the Fourth Proportional to 8,389.67, 11,560.67 and 6,489.71

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Solution

The fourth proportional to 8,389.67, 11,560.67 and 6,489.71 is: 8,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.67 : 11,560.67 = 6,489.71 : x
  2. Step 2: Convert to fraction form
    8,389.67/11,560.67 = 6,489.71/x
  3. Step 3: Cross multiply
    8,389.67x = 11,560.67 × 6,489.71
  4. Step 4: Simplify right side
    8,389.67x = 75,025,305.45
  5. Step 5: Solve for x
    x = 75,025,305.45/8,389.67
  6. Step 6: Final answer
    x = 8,942.59

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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.