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Finding the Fourth Proportional to 11,386.95, 17,082.46 and 3,489.31

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Solution

The fourth proportional to 11,386.95, 17,082.46 and 3,489.31 is: 5,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.95 : 17,082.46 = 3,489.31 : x
  2. Step 2: Convert to fraction form
    11,386.95/17,082.46 = 3,489.31/x
  3. Step 3: Cross multiply
    11,386.95x = 17,082.46 × 3,489.31
  4. Step 4: Simplify right side
    11,386.95x = 59,605,998.50
  5. Step 5: Solve for x
    x = 59,605,998.50/11,386.95
  6. Step 6: Final answer
    x = 5,234.59

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Why These Related Problems?

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