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Finding the Fourth Proportional to 8,382.67, 12,574.13 and 3,637.75

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Solution

The fourth proportional to 8,382.67, 12,574.13 and 3,637.75 is: 5,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.67 : 12,574.13 = 3,637.75 : x
  2. Step 2: Convert to fraction form
    8,382.67/12,574.13 = 3,637.75/x
  3. Step 3: Cross multiply
    8,382.67x = 12,574.13 × 3,637.75
  4. Step 4: Simplify right side
    8,382.67x = 45,741,541.41
  5. Step 5: Solve for x
    x = 45,741,541.41/8,382.67
  6. Step 6: Final answer
    x = 5,456.68

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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.