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Finding the Fourth Proportional to 8,721, 12,034.76 and 4,742.02

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Solution

The fourth proportional to 8,721, 12,034.76 and 4,742.02 is: 6,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721 : 12,034.76 = 4,742.02 : x
  2. Step 2: Convert to fraction form
    8,721/12,034.76 = 4,742.02/x
  3. Step 3: Cross multiply
    8,721x = 12,034.76 × 4,742.02
  4. Step 4: Simplify right side
    8,721x = 57,069,072.62
  5. Step 5: Solve for x
    x = 57,069,072.62/8,721
  6. Step 6: Final answer
    x = 6,543.87

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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.