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Finding the Fourth Proportional to 8,720, 12,033.28 and 4,741

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Solution

The fourth proportional to 8,720, 12,033.28 and 4,741 is: 6,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720 : 12,033.28 = 4,741 : x
  2. Step 2: Convert to fraction form
    8,720/12,033.28 = 4,741/x
  3. Step 3: Cross multiply
    8,720x = 12,033.28 × 4,741
  4. Step 4: Simplify right side
    8,720x = 57,049,780.48
  5. Step 5: Solve for x
    x = 57,049,780.48/8,720
  6. Step 6: Final answer
    x = 6,542.41

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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.