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Finding the Fourth Proportional to 8,689.32, 11,989.62 and 5,151.24

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Solution

The fourth proportional to 8,689.32, 11,989.62 and 5,151.24 is: 7,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.32 : 11,989.62 = 5,151.24 : x
  2. Step 2: Convert to fraction form
    8,689.32/11,989.62 = 5,151.24/x
  3. Step 3: Cross multiply
    8,689.32x = 11,989.62 × 5,151.24
  4. Step 4: Simplify right side
    8,689.32x = 61,761,410.13
  5. Step 5: Solve for x
    x = 61,761,410.13/8,689.32
  6. Step 6: Final answer
    x = 7,107.74

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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.