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Finding the Fourth Proportional to 8,294.90, 12,436.18 and 3,614.03

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Solution

The fourth proportional to 8,294.90, 12,436.18 and 3,614.03 is: 5,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.90 : 12,436.18 = 3,614.03 : x
  2. Step 2: Convert to fraction form
    8,294.90/12,436.18 = 3,614.03/x
  3. Step 3: Cross multiply
    8,294.90x = 12,436.18 × 3,614.03
  4. Step 4: Simplify right side
    8,294.90x = 44,944,656.39
  5. Step 5: Solve for x
    x = 44,944,656.39/8,294.90
  6. Step 6: Final answer
    x = 5,418.35

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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.