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Finding the Fourth Proportional to 6,410.24, 8,843.66 and 4,016.04

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Solution

The fourth proportional to 6,410.24, 8,843.66 and 4,016.04 is: 5,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.24 : 8,843.66 = 4,016.04 : x
  2. Step 2: Convert to fraction form
    6,410.24/8,843.66 = 4,016.04/x
  3. Step 3: Cross multiply
    6,410.24x = 8,843.66 × 4,016.04
  4. Step 4: Simplify right side
    6,410.24x = 35,516,492.31
  5. Step 5: Solve for x
    x = 35,516,492.31/6,410.24
  6. Step 6: Final answer
    x = 5,540.59

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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.