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Finding the Fourth Proportional to 11,015.38, 15,196.16 and 7,034.50

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Solution

The fourth proportional to 11,015.38, 15,196.16 and 7,034.50 is: 9,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015.38 : 15,196.16 = 7,034.50 : x
  2. Step 2: Convert to fraction form
    11,015.38/15,196.16 = 7,034.50/x
  3. Step 3: Cross multiply
    11,015.38x = 15,196.16 × 7,034.50
  4. Step 4: Simplify right side
    11,015.38x = 106,897,387.52
  5. Step 5: Solve for x
    x = 106,897,387.52/11,015.38
  6. Step 6: Final answer
    x = 9,704.38

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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.