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Finding the Fourth Proportional to 8,689.57, 11,991.85 and 5,285.41

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Solution

The fourth proportional to 8,689.57, 11,991.85 and 5,285.41 is: 7,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.57 : 11,991.85 = 5,285.41 : x
  2. Step 2: Convert to fraction form
    8,689.57/11,991.85 = 5,285.41/x
  3. Step 3: Cross multiply
    8,689.57x = 11,991.85 × 5,285.41
  4. Step 4: Simplify right side
    8,689.57x = 63,381,800.72
  5. Step 5: Solve for x
    x = 63,381,800.72/8,689.57
  6. Step 6: Final answer
    x = 7,294.01

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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.