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Finding the Fourth Proportional to 11,238.97, 15,509.90 and 6,203.38

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Solution

The fourth proportional to 11,238.97, 15,509.90 and 6,203.38 is: 8,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.97 : 15,509.90 = 6,203.38 : x
  2. Step 2: Convert to fraction form
    11,238.97/15,509.90 = 6,203.38/x
  3. Step 3: Cross multiply
    11,238.97x = 15,509.90 × 6,203.38
  4. Step 4: Simplify right side
    11,238.97x = 96,213,803.46
  5. Step 5: Solve for x
    x = 96,213,803.46/11,238.97
  6. Step 6: Final answer
    x = 8,560.73

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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.