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Finding the Fourth Proportional to 11,454.53, 15,805.13 and 6,418.80

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Solution

The fourth proportional to 11,454.53, 15,805.13 and 6,418.80 is: 8,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.53 : 15,805.13 = 6,418.80 : x
  2. Step 2: Convert to fraction form
    11,454.53/15,805.13 = 6,418.80/x
  3. Step 3: Cross multiply
    11,454.53x = 15,805.13 × 6,418.80
  4. Step 4: Simplify right side
    11,454.53x = 101,449,936.35
  5. Step 5: Solve for x
    x = 101,449,936.35/11,454.53
  6. Step 6: Final answer
    x = 8,856.76

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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.