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Finding the Fourth Proportional to 7,161.13, 9,882.42 and 4,017.38

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Solution

The fourth proportional to 7,161.13, 9,882.42 and 4,017.38 is: 5,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.13 : 9,882.42 = 4,017.38 : x
  2. Step 2: Convert to fraction form
    7,161.13/9,882.42 = 4,017.38/x
  3. Step 3: Cross multiply
    7,161.13x = 9,882.42 × 4,017.38
  4. Step 4: Simplify right side
    7,161.13x = 39,701,436.46
  5. Step 5: Solve for x
    x = 39,701,436.46/7,161.13
  6. Step 6: Final answer
    x = 5,544.02

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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.