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Finding the Fourth Proportional to 8,731.89, 12,050.31 and 4,753.07

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Solution

The fourth proportional to 8,731.89, 12,050.31 and 4,753.07 is: 6,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.89 : 12,050.31 = 4,753.07 : x
  2. Step 2: Convert to fraction form
    8,731.89/12,050.31 = 4,753.07/x
  3. Step 3: Cross multiply
    8,731.89x = 12,050.31 × 4,753.07
  4. Step 4: Simplify right side
    8,731.89x = 57,275,906.70
  5. Step 5: Solve for x
    x = 57,275,906.70/8,731.89
  6. Step 6: Final answer
    x = 6,559.39

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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.