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Finding the Fourth Proportional to 8,692.87, 11,989.78 and 5,707.61

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Solution

The fourth proportional to 8,692.87, 11,989.78 and 5,707.61 is: 7,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.87 : 11,989.78 = 5,707.61 : x
  2. Step 2: Convert to fraction form
    8,692.87/11,989.78 = 5,707.61/x
  3. Step 3: Cross multiply
    8,692.87x = 11,989.78 × 5,707.61
  4. Step 4: Simplify right side
    8,692.87x = 68,432,988.23
  5. Step 5: Solve for x
    x = 68,432,988.23/8,692.87
  6. Step 6: Final answer
    x = 7,872.31

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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.