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Finding the Fourth Proportional to 8,254.81, 12,382.46 and 2,098.81

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Solution

The fourth proportional to 8,254.81, 12,382.46 and 2,098.81 is: 3,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.81 : 12,382.46 = 2,098.81 : x
  2. Step 2: Convert to fraction form
    8,254.81/12,382.46 = 2,098.81/x
  3. Step 3: Cross multiply
    8,254.81x = 12,382.46 × 2,098.81
  4. Step 4: Simplify right side
    8,254.81x = 25,988,420.38
  5. Step 5: Solve for x
    x = 25,988,420.38/8,254.81
  6. Step 6: Final answer
    x = 3,148.28

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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.