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Finding the Fourth Proportional to 10,778.80, 16,168.20 and 8,154.40

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Solution

The fourth proportional to 10,778.80, 16,168.20 and 8,154.40 is: 12,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.80 : 16,168.20 = 8,154.40 : x
  2. Step 2: Convert to fraction form
    10,778.80/16,168.20 = 8,154.40/x
  3. Step 3: Cross multiply
    10,778.80x = 16,168.20 × 8,154.40
  4. Step 4: Simplify right side
    10,778.80x = 131,841,970.08
  5. Step 5: Solve for x
    x = 131,841,970.08/10,778.80
  6. Step 6: Final answer
    x = 12,231.60

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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.