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Finding the Fourth Proportional to 8,207.68, 12,302.40 and 6,253.44

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Solution

The fourth proportional to 8,207.68, 12,302.40 and 6,253.44 is: 9,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.68 : 12,302.40 = 6,253.44 : x
  2. Step 2: Convert to fraction form
    8,207.68/12,302.40 = 6,253.44/x
  3. Step 3: Cross multiply
    8,207.68x = 12,302.40 × 6,253.44
  4. Step 4: Simplify right side
    8,207.68x = 76,932,320.26
  5. Step 5: Solve for x
    x = 76,932,320.26/8,207.68
  6. Step 6: Final answer
    x = 9,373.21

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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.