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Finding the Fourth Proportional to 12,283.29, 18,428.52 and 3,963.14

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Solution

The fourth proportional to 12,283.29, 18,428.52 and 3,963.14 is: 5,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.29 : 18,428.52 = 3,963.14 : x
  2. Step 2: Convert to fraction form
    12,283.29/18,428.52 = 3,963.14/x
  3. Step 3: Cross multiply
    12,283.29x = 18,428.52 × 3,963.14
  4. Step 4: Simplify right side
    12,283.29x = 73,034,712.61
  5. Step 5: Solve for x
    x = 73,034,712.61/12,283.29
  6. Step 6: Final answer
    x = 5,945.86

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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.