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Finding the Fourth Proportional to 11,454.66, 17,182 and 5,904.54

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Solution

The fourth proportional to 11,454.66, 17,182 and 5,904.54 is: 8,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.66 : 17,182 = 5,904.54 : x
  2. Step 2: Convert to fraction form
    11,454.66/17,182 = 5,904.54/x
  3. Step 3: Cross multiply
    11,454.66x = 17,182 × 5,904.54
  4. Step 4: Simplify right side
    11,454.66x = 101,451,806.28
  5. Step 5: Solve for x
    x = 101,451,806.28/11,454.66
  6. Step 6: Final answer
    x = 8,856.82

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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.