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Finding the Fourth Proportional to 8,210.68, 12,306.90 and 6,256.44

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Solution

The fourth proportional to 8,210.68, 12,306.90 and 6,256.44 is: 9,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.68 : 12,306.90 = 6,256.44 : x
  2. Step 2: Convert to fraction form
    8,210.68/12,306.90 = 6,256.44/x
  3. Step 3: Cross multiply
    8,210.68x = 12,306.90 × 6,256.44
  4. Step 4: Simplify right side
    8,210.68x = 76,997,381.44
  5. Step 5: Solve for x
    x = 76,997,381.44/8,210.68
  6. Step 6: Final answer
    x = 9,377.71

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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.