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Finding the Fourth Proportional to 10,874.08, 16,285.20 and 8,390.80

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Solution

The fourth proportional to 10,874.08, 16,285.20 and 8,390.80 is: 12,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.08 : 16,285.20 = 8,390.80 : x
  2. Step 2: Convert to fraction form
    10,874.08/16,285.20 = 8,390.80/x
  3. Step 3: Cross multiply
    10,874.08x = 16,285.20 × 8,390.80
  4. Step 4: Simplify right side
    10,874.08x = 136,645,856.16
  5. Step 5: Solve for x
    x = 136,645,856.16/10,874.08
  6. Step 6: Final answer
    x = 12,566.20

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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.