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Finding the Fourth Proportional to 10,227, 15,344.22 and 5,036.52

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Solution

The fourth proportional to 10,227, 15,344.22 and 5,036.52 is: 7,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227 : 15,344.22 = 5,036.52 : x
  2. Step 2: Convert to fraction form
    10,227/15,344.22 = 5,036.52/x
  3. Step 3: Cross multiply
    10,227x = 15,344.22 × 5,036.52
  4. Step 4: Simplify right side
    10,227x = 77,281,470.91
  5. Step 5: Solve for x
    x = 77,281,470.91/10,227
  6. Step 6: Final answer
    x = 7,556.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.