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Finding the Fourth Proportional to 8,292.92, 12,434.78 and 3,290.22

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Solution

The fourth proportional to 8,292.92, 12,434.78 and 3,290.22 is: 4,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.92 : 12,434.78 = 3,290.22 : x
  2. Step 2: Convert to fraction form
    8,292.92/12,434.78 = 3,290.22/x
  3. Step 3: Cross multiply
    8,292.92x = 12,434.78 × 3,290.22
  4. Step 4: Simplify right side
    8,292.92x = 40,913,170.08
  5. Step 5: Solve for x
    x = 40,913,170.08/8,292.92
  6. Step 6: Final answer
    x = 4,933.51

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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.