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Finding the Fourth Proportional to 10,767.80, 16,167.90 and 8,305.40

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Solution

The fourth proportional to 10,767.80, 16,167.90 and 8,305.40 is: 12,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.80 : 16,167.90 = 8,305.40 : x
  2. Step 2: Convert to fraction form
    10,767.80/16,167.90 = 8,305.40/x
  3. Step 3: Cross multiply
    10,767.80x = 16,167.90 × 8,305.40
  4. Step 4: Simplify right side
    10,767.80x = 134,280,876.66
  5. Step 5: Solve for x
    x = 134,280,876.66/10,767.80
  6. Step 6: Final answer
    x = 12,470.60

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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.