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Finding the Fourth Proportional to 8,293.84, 12,436.98 and 3,613.66

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Solution

The fourth proportional to 8,293.84, 12,436.98 and 3,613.66 is: 5,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.84 : 12,436.98 = 3,613.66 : x
  2. Step 2: Convert to fraction form
    8,293.84/12,436.98 = 3,613.66/x
  3. Step 3: Cross multiply
    8,293.84x = 12,436.98 × 3,613.66
  4. Step 4: Simplify right side
    8,293.84x = 44,943,017.15
  5. Step 5: Solve for x
    x = 44,943,017.15/8,293.84
  6. Step 6: Final answer
    x = 5,418.84

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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.