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Finding the Fourth Proportional to 11,456.87, 17,193 and 4,061.30

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Solution

The fourth proportional to 11,456.87, 17,193 and 4,061.30 is: 6,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.87 : 17,193 = 4,061.30 : x
  2. Step 2: Convert to fraction form
    11,456.87/17,193 = 4,061.30/x
  3. Step 3: Cross multiply
    11,456.87x = 17,193 × 4,061.30
  4. Step 4: Simplify right side
    11,456.87x = 69,825,930.90
  5. Step 5: Solve for x
    x = 69,825,930.90/11,456.87
  6. Step 6: Final answer
    x = 6,094.68

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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.