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Finding the Fourth Proportional to 8,283.14, 12,424.83 and 2,360.17

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Solution

The fourth proportional to 8,283.14, 12,424.83 and 2,360.17 is: 3,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.14 : 12,424.83 = 2,360.17 : x
  2. Step 2: Convert to fraction form
    8,283.14/12,424.83 = 2,360.17/x
  3. Step 3: Cross multiply
    8,283.14x = 12,424.83 × 2,360.17
  4. Step 4: Simplify right side
    8,283.14x = 29,324,711.02
  5. Step 5: Solve for x
    x = 29,324,711.02/8,283.14
  6. Step 6: Final answer
    x = 3,540.29

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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.