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Finding the Fourth Proportional to 6,713.52, 10,061.76 and 3,793.46

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Solution

The fourth proportional to 6,713.52, 10,061.76 and 3,793.46 is: 5,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.52 : 10,061.76 = 3,793.46 : x
  2. Step 2: Convert to fraction form
    6,713.52/10,061.76 = 3,793.46/x
  3. Step 3: Cross multiply
    6,713.52x = 10,061.76 × 3,793.46
  4. Step 4: Simplify right side
    6,713.52x = 38,168,884.09
  5. Step 5: Solve for x
    x = 38,168,884.09/6,713.52
  6. Step 6: Final answer
    x = 5,685.38

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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.