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Finding the Fourth Proportional to 8,432.71, 12,646.33 and 4,922.57

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Solution

The fourth proportional to 8,432.71, 12,646.33 and 4,922.57 is: 7,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.71 : 12,646.33 = 4,922.57 : x
  2. Step 2: Convert to fraction form
    8,432.71/12,646.33 = 4,922.57/x
  3. Step 3: Cross multiply
    8,432.71x = 12,646.33 × 4,922.57
  4. Step 4: Simplify right side
    8,432.71x = 62,252,463.98
  5. Step 5: Solve for x
    x = 62,252,463.98/8,432.71
  6. Step 6: Final answer
    x = 7,382.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.