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Finding the Fourth Proportional to 10,227.62, 14,115 and 5,752.49

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Solution

The fourth proportional to 10,227.62, 14,115 and 5,752.49 is: 7,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.62 : 14,115 = 5,752.49 : x
  2. Step 2: Convert to fraction form
    10,227.62/14,115 = 5,752.49/x
  3. Step 3: Cross multiply
    10,227.62x = 14,115 × 5,752.49
  4. Step 4: Simplify right side
    10,227.62x = 81,196,396.35
  5. Step 5: Solve for x
    x = 81,196,396.35/10,227.62
  6. Step 6: Final answer
    x = 7,938.93

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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.