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Finding the Fourth Proportional to 11,462.10, 17,194.97 and 4,065.48

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Solution

The fourth proportional to 11,462.10, 17,194.97 and 4,065.48 is: 6,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.10 : 17,194.97 = 4,065.48 : x
  2. Step 2: Convert to fraction form
    11,462.10/17,194.97 = 4,065.48/x
  3. Step 3: Cross multiply
    11,462.10x = 17,194.97 × 4,065.48
  4. Step 4: Simplify right side
    11,462.10x = 69,905,806.64
  5. Step 5: Solve for x
    x = 69,905,806.64/11,462.10
  6. Step 6: Final answer
    x = 6,098.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.