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Finding the Fourth Proportional to 11,197.38, 15,459.04 and 9,951.82

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Solution

The fourth proportional to 11,197.38, 15,459.04 and 9,951.82 is: 13,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.38 : 15,459.04 = 9,951.82 : x
  2. Step 2: Convert to fraction form
    11,197.38/15,459.04 = 9,951.82/x
  3. Step 3: Cross multiply
    11,197.38x = 15,459.04 × 9,951.82
  4. Step 4: Simplify right side
    11,197.38x = 153,845,583.45
  5. Step 5: Solve for x
    x = 153,845,583.45/11,197.38
  6. Step 6: Final answer
    x = 13,739.43

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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.