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Finding the Fourth Proportional to 10,974.38, 15,152.96 and 10,952.51

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Solution

The fourth proportional to 10,974.38, 15,152.96 and 10,952.51 is: 15,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.38 : 15,152.96 = 10,952.51 : x
  2. Step 2: Convert to fraction form
    10,974.38/15,152.96 = 10,952.51/x
  3. Step 3: Cross multiply
    10,974.38x = 15,152.96 × 10,952.51
  4. Step 4: Simplify right side
    10,974.38x = 165,962,945.93
  5. Step 5: Solve for x
    x = 165,962,945.93/10,974.38
  6. Step 6: Final answer
    x = 15,122.76

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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.