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Finding the Fourth Proportional to 8,269.68, 12,387.76 and 3,821.02

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Solution

The fourth proportional to 8,269.68, 12,387.76 and 3,821.02 is: 5,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.68 : 12,387.76 = 3,821.02 : x
  2. Step 2: Convert to fraction form
    8,269.68/12,387.76 = 3,821.02/x
  3. Step 3: Cross multiply
    8,269.68x = 12,387.76 × 3,821.02
  4. Step 4: Simplify right side
    8,269.68x = 47,333,878.72
  5. Step 5: Solve for x
    x = 47,333,878.72/8,269.68
  6. Step 6: Final answer
    x = 5,723.79

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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.