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Finding the Fourth Proportional to 8,127.81, 12,193.44 and 2,862.61

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Solution

The fourth proportional to 8,127.81, 12,193.44 and 2,862.61 is: 4,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.81 : 12,193.44 = 2,862.61 : x
  2. Step 2: Convert to fraction form
    8,127.81/12,193.44 = 2,862.61/x
  3. Step 3: Cross multiply
    8,127.81x = 12,193.44 × 2,862.61
  4. Step 4: Simplify right side
    8,127.81x = 34,905,022.06
  5. Step 5: Solve for x
    x = 34,905,022.06/8,127.81
  6. Step 6: Final answer
    x = 4,294.52

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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.