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Finding the Fourth Proportional to 8,214.80, 12,324.03 and 2,371.41

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Solution

The fourth proportional to 8,214.80, 12,324.03 and 2,371.41 is: 3,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.80 : 12,324.03 = 2,371.41 : x
  2. Step 2: Convert to fraction form
    8,214.80/12,324.03 = 2,371.41/x
  3. Step 3: Cross multiply
    8,214.80x = 12,324.03 × 2,371.41
  4. Step 4: Simplify right side
    8,214.80x = 29,225,332.43
  5. Step 5: Solve for x
    x = 29,225,332.43/8,214.80
  6. Step 6: Final answer
    x = 3,557.64

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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.