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Finding the Fourth Proportional to 10,781.80, 16,158.90 and 8,702.80

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Solution

The fourth proportional to 10,781.80, 16,158.90 and 8,702.80 is: 13,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.80 : 16,158.90 = 8,702.80 : x
  2. Step 2: Convert to fraction form
    10,781.80/16,158.90 = 8,702.80/x
  3. Step 3: Cross multiply
    10,781.80x = 16,158.90 × 8,702.80
  4. Step 4: Simplify right side
    10,781.80x = 140,627,674.92
  5. Step 5: Solve for x
    x = 140,627,674.92/10,781.80
  6. Step 6: Final answer
    x = 13,043.06

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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.