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Finding the Fourth Proportional to 11,489.87, 15,855.40 and 6,454.30

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Solution

The fourth proportional to 11,489.87, 15,855.40 and 6,454.30 is: 8,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.87 : 15,855.40 = 6,454.30 : x
  2. Step 2: Convert to fraction form
    11,489.87/15,855.40 = 6,454.30/x
  3. Step 3: Cross multiply
    11,489.87x = 15,855.40 × 6,454.30
  4. Step 4: Simplify right side
    11,489.87x = 102,335,484.72
  5. Step 5: Solve for x
    x = 102,335,484.72/11,489.87
  6. Step 6: Final answer
    x = 8,906.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.