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Finding the Fourth Proportional to 8,343.30, 12,497.22 and 6,775.95

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Solution

The fourth proportional to 8,343.30, 12,497.22 and 6,775.95 is: 10,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.30 : 12,497.22 = 6,775.95 : x
  2. Step 2: Convert to fraction form
    8,343.30/12,497.22 = 6,775.95/x
  3. Step 3: Cross multiply
    8,343.30x = 12,497.22 × 6,775.95
  4. Step 4: Simplify right side
    8,343.30x = 84,680,537.86
  5. Step 5: Solve for x
    x = 84,680,537.86/8,343.30
  6. Step 6: Final answer
    x = 10,149.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.