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Finding the Fourth Proportional to 10,781.55, 16,172.33 and 8,157.15

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Solution

The fourth proportional to 10,781.55, 16,172.33 and 8,157.15 is: 12,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.55 : 16,172.33 = 8,157.15 : x
  2. Step 2: Convert to fraction form
    10,781.55/16,172.33 = 8,157.15/x
  3. Step 3: Cross multiply
    10,781.55x = 16,172.33 × 8,157.15
  4. Step 4: Simplify right side
    10,781.55x = 131,920,080.87
  5. Step 5: Solve for x
    x = 131,920,080.87/10,781.55
  6. Step 6: Final answer
    x = 12,235.73

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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.