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Finding the Fourth Proportional to 8,689.69, 13,032.52 and 5,180.68

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Solution

The fourth proportional to 8,689.69, 13,032.52 and 5,180.68 is: 7,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.69 : 13,032.52 = 5,180.68 : x
  2. Step 2: Convert to fraction form
    8,689.69/13,032.52 = 5,180.68/x
  3. Step 3: Cross multiply
    8,689.69x = 13,032.52 × 5,180.68
  4. Step 4: Simplify right side
    8,689.69x = 67,517,224.65
  5. Step 5: Solve for x
    x = 67,517,224.65/8,689.69
  6. Step 6: Final answer
    x = 7,769.81

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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.