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Finding the Fourth Proportional to 8,113.70, 12,169.65 and 6,650.30

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Solution

The fourth proportional to 8,113.70, 12,169.65 and 6,650.30 is: 9,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.70 : 12,169.65 = 6,650.30 : x
  2. Step 2: Convert to fraction form
    8,113.70/12,169.65 = 6,650.30/x
  3. Step 3: Cross multiply
    8,113.70x = 12,169.65 × 6,650.30
  4. Step 4: Simplify right side
    8,113.70x = 80,931,823.40
  5. Step 5: Solve for x
    x = 80,931,823.40/8,113.70
  6. Step 6: Final answer
    x = 9,974.71

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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.