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Finding the Fourth Proportional to 10,223.75, 15,337.80 and 4,067.75

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Solution

The fourth proportional to 10,223.75, 15,337.80 and 4,067.75 is: 6,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.75 : 15,337.80 = 4,067.75 : x
  2. Step 2: Convert to fraction form
    10,223.75/15,337.80 = 4,067.75/x
  3. Step 3: Cross multiply
    10,223.75x = 15,337.80 × 4,067.75
  4. Step 4: Simplify right side
    10,223.75x = 62,390,335.95
  5. Step 5: Solve for x
    x = 62,390,335.95/10,223.75
  6. Step 6: Final answer
    x = 6,102.49

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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.