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Finding the Fourth Proportional to 8,214.79, 12,321.91 and 2,371.99

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Solution

The fourth proportional to 8,214.79, 12,321.91 and 2,371.99 is: 3,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.79 : 12,321.91 = 2,371.99 : x
  2. Step 2: Convert to fraction form
    8,214.79/12,321.91 = 2,371.99/x
  3. Step 3: Cross multiply
    8,214.79x = 12,321.91 × 2,371.99
  4. Step 4: Simplify right side
    8,214.79x = 29,227,447.30
  5. Step 5: Solve for x
    x = 29,227,447.30/8,214.79
  6. Step 6: Final answer
    x = 3,557.91

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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.