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Finding the Fourth Proportional to 8,922.61, 12,326.53 and 5,863.69

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Solution

The fourth proportional to 8,922.61, 12,326.53 and 5,863.69 is: 8,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.61 : 12,326.53 = 5,863.69 : x
  2. Step 2: Convert to fraction form
    8,922.61/12,326.53 = 5,863.69/x
  3. Step 3: Cross multiply
    8,922.61x = 12,326.53 × 5,863.69
  4. Step 4: Simplify right side
    8,922.61x = 72,278,921.38
  5. Step 5: Solve for x
    x = 72,278,921.38/8,922.61
  6. Step 6: Final answer
    x = 8,100.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.