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Finding the Fourth Proportional to 8,689.20, 11,977.12 and 6,166.12

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Solution

The fourth proportional to 8,689.20, 11,977.12 and 6,166.12 is: 8,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.20 : 11,977.12 = 6,166.12 : x
  2. Step 2: Convert to fraction form
    8,689.20/11,977.12 = 6,166.12/x
  3. Step 3: Cross multiply
    8,689.20x = 11,977.12 × 6,166.12
  4. Step 4: Simplify right side
    8,689.20x = 73,852,359.17
  5. Step 5: Solve for x
    x = 73,852,359.17/8,689.20
  6. Step 6: Final answer
    x = 8,499.33

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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.