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Finding the Fourth Proportional to 8,217.81, 12,326.94 and 2,374.65

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Solution

The fourth proportional to 8,217.81, 12,326.94 and 2,374.65 is: 3,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.81 : 12,326.94 = 2,374.65 : x
  2. Step 2: Convert to fraction form
    8,217.81/12,326.94 = 2,374.65/x
  3. Step 3: Cross multiply
    8,217.81x = 12,326.94 × 2,374.65
  4. Step 4: Simplify right side
    8,217.81x = 29,272,168.07
  5. Step 5: Solve for x
    x = 29,272,168.07/8,217.81
  6. Step 6: Final answer
    x = 3,562.04

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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.