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Finding the Fourth Proportional to 8,223.27, 12,343.62 and 6,681.88

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Solution

The fourth proportional to 8,223.27, 12,343.62 and 6,681.88 is: 10,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.27 : 12,343.62 = 6,681.88 : x
  2. Step 2: Convert to fraction form
    8,223.27/12,343.62 = 6,681.88/x
  3. Step 3: Cross multiply
    8,223.27x = 12,343.62 × 6,681.88
  4. Step 4: Simplify right side
    8,223.27x = 82,478,587.61
  5. Step 5: Solve for x
    x = 82,478,587.61/8,223.27
  6. Step 6: Final answer
    x = 10,029.90

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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.