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Finding the Fourth Proportional to 8,309.72, 12,446.27 and 6,868.60

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Solution

The fourth proportional to 8,309.72, 12,446.27 and 6,868.60 is: 10,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.72 : 12,446.27 = 6,868.60 : x
  2. Step 2: Convert to fraction form
    8,309.72/12,446.27 = 6,868.60/x
  3. Step 3: Cross multiply
    8,309.72x = 12,446.27 × 6,868.60
  4. Step 4: Simplify right side
    8,309.72x = 85,488,482.85
  5. Step 5: Solve for x
    x = 85,488,482.85/8,309.72
  6. Step 6: Final answer
    x = 10,287.76

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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.