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Finding the Fourth Proportional to 10,033.38, 13,837.37 and 7,521.17

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Solution

The fourth proportional to 10,033.38, 13,837.37 and 7,521.17 is: 10,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.38 : 13,837.37 = 7,521.17 : x
  2. Step 2: Convert to fraction form
    10,033.38/13,837.37 = 7,521.17/x
  3. Step 3: Cross multiply
    10,033.38x = 13,837.37 × 7,521.17
  4. Step 4: Simplify right side
    10,033.38x = 104,073,105.33
  5. Step 5: Solve for x
    x = 104,073,105.33/10,033.38
  6. Step 6: Final answer
    x = 10,372.69

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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.