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Finding the Fourth Proportional to 11,199.38, 15,455.13 and 6,948.86

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Solution

The fourth proportional to 11,199.38, 15,455.13 and 6,948.86 is: 9,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.38 : 15,455.13 = 6,948.86 : x
  2. Step 2: Convert to fraction form
    11,199.38/15,455.13 = 6,948.86/x
  3. Step 3: Cross multiply
    11,199.38x = 15,455.13 × 6,948.86
  4. Step 4: Simplify right side
    11,199.38x = 107,395,534.65
  5. Step 5: Solve for x
    x = 107,395,534.65/11,199.38
  6. Step 6: Final answer
    x = 9,589.42

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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.