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Finding the Fourth Proportional to 10,854.30, 16,281.45 and 8,229.90

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Solution

The fourth proportional to 10,854.30, 16,281.45 and 8,229.90 is: 12,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.30 : 16,281.45 = 8,229.90 : x
  2. Step 2: Convert to fraction form
    10,854.30/16,281.45 = 8,229.90/x
  3. Step 3: Cross multiply
    10,854.30x = 16,281.45 × 8,229.90
  4. Step 4: Simplify right side
    10,854.30x = 133,994,705.36
  5. Step 5: Solve for x
    x = 133,994,705.36/10,854.30
  6. Step 6: Final answer
    x = 12,344.85

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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.