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Finding the Fourth Proportional to 8,147.40, 12,218.67 and 6,507.15

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Solution

The fourth proportional to 8,147.40, 12,218.67 and 6,507.15 is: 9,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.40 : 12,218.67 = 6,507.15 : x
  2. Step 2: Convert to fraction form
    8,147.40/12,218.67 = 6,507.15/x
  3. Step 3: Cross multiply
    8,147.40x = 12,218.67 × 6,507.15
  4. Step 4: Simplify right side
    8,147.40x = 79,508,718.49
  5. Step 5: Solve for x
    x = 79,508,718.49/8,147.40
  6. Step 6: Final answer
    x = 9,758.78

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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.