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Finding the Fourth Proportional to 7,677.47, 10,593.66 and 5,163.82

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Solution

The fourth proportional to 7,677.47, 10,593.66 and 5,163.82 is: 7,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.47 : 10,593.66 = 5,163.82 : x
  2. Step 2: Convert to fraction form
    7,677.47/10,593.66 = 5,163.82/x
  3. Step 3: Cross multiply
    7,677.47x = 10,593.66 × 5,163.82
  4. Step 4: Simplify right side
    7,677.47x = 54,703,753.38
  5. Step 5: Solve for x
    x = 54,703,753.38/7,677.47
  6. Step 6: Final answer
    x = 7,125.23

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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.