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Finding the Fourth Proportional to 11,449.88, 15,800.63 and 6,414.05

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Solution

The fourth proportional to 11,449.88, 15,800.63 and 6,414.05 is: 8,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.88 : 15,800.63 = 6,414.05 : x
  2. Step 2: Convert to fraction form
    11,449.88/15,800.63 = 6,414.05/x
  3. Step 3: Cross multiply
    11,449.88x = 15,800.63 × 6,414.05
  4. Step 4: Simplify right side
    11,449.88x = 101,345,919.78
  5. Step 5: Solve for x
    x = 101,345,919.78/11,449.88
  6. Step 6: Final answer
    x = 8,851.27

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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.