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Finding the Fourth Proportional to 11,138.88, 15,371.88 and 6,103.29

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Solution

The fourth proportional to 11,138.88, 15,371.88 and 6,103.29 is: 8,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.88 : 15,371.88 = 6,103.29 : x
  2. Step 2: Convert to fraction form
    11,138.88/15,371.88 = 6,103.29/x
  3. Step 3: Cross multiply
    11,138.88x = 15,371.88 × 6,103.29
  4. Step 4: Simplify right side
    11,138.88x = 93,819,041.49
  5. Step 5: Solve for x
    x = 93,819,041.49/11,138.88
  6. Step 6: Final answer
    x = 8,422.66

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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.