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Finding the Fourth Proportional to 8,216.89, 12,323.98 and 2,294.18

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Solution

The fourth proportional to 8,216.89, 12,323.98 and 2,294.18 is: 3,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.89 : 12,323.98 = 2,294.18 : x
  2. Step 2: Convert to fraction form
    8,216.89/12,323.98 = 2,294.18/x
  3. Step 3: Cross multiply
    8,216.89x = 12,323.98 × 2,294.18
  4. Step 4: Simplify right side
    8,216.89x = 28,273,428.44
  5. Step 5: Solve for x
    x = 28,273,428.44/8,216.89
  6. Step 6: Final answer
    x = 3,440.89

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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.