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Finding the Fourth Proportional to 8,720.75, 12,038.31 and 5,891.96

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Solution

The fourth proportional to 8,720.75, 12,038.31 and 5,891.96 is: 8,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.75 : 12,038.31 = 5,891.96 : x
  2. Step 2: Convert to fraction form
    8,720.75/12,038.31 = 5,891.96/x
  3. Step 3: Cross multiply
    8,720.75x = 12,038.31 × 5,891.96
  4. Step 4: Simplify right side
    8,720.75x = 70,929,180.80
  5. Step 5: Solve for x
    x = 70,929,180.80/8,720.75
  6. Step 6: Final answer
    x = 8,133.39

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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.