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Finding the Fourth Proportional to 11,439.14, 15,795.86 and 7,197.27

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Solution

The fourth proportional to 11,439.14, 15,795.86 and 7,197.27 is: 9,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.14 : 15,795.86 = 7,197.27 : x
  2. Step 2: Convert to fraction form
    11,439.14/15,795.86 = 7,197.27/x
  3. Step 3: Cross multiply
    11,439.14x = 15,795.86 × 7,197.27
  4. Step 4: Simplify right side
    11,439.14x = 113,687,069.30
  5. Step 5: Solve for x
    x = 113,687,069.30/11,439.14
  6. Step 6: Final answer
    x = 9,938.43

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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.