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Finding the Fourth Proportional to 11,139.11, 15,372.17 and 6,103

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Solution

The fourth proportional to 11,139.11, 15,372.17 and 6,103 is: 8,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.11 : 15,372.17 = 6,103 : x
  2. Step 2: Convert to fraction form
    11,139.11/15,372.17 = 6,103/x
  3. Step 3: Cross multiply
    11,139.11x = 15,372.17 × 6,103
  4. Step 4: Simplify right side
    11,139.11x = 93,816,353.51
  5. Step 5: Solve for x
    x = 93,816,353.51/11,139.11
  6. Step 6: Final answer
    x = 8,422.25

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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.