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Finding the Fourth Proportional to 10,918.62, 15,067.62 and 6,202.90

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Solution

The fourth proportional to 10,918.62, 15,067.62 and 6,202.90 is: 8,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.62 : 15,067.62 = 6,202.90 : x
  2. Step 2: Convert to fraction form
    10,918.62/15,067.62 = 6,202.90/x
  3. Step 3: Cross multiply
    10,918.62x = 15,067.62 × 6,202.90
  4. Step 4: Simplify right side
    10,918.62x = 93,462,940.10
  5. Step 5: Solve for x
    x = 93,462,940.10/10,918.62
  6. Step 6: Final answer
    x = 8,559.96

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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.