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Finding the Fourth Proportional to 8,081.32, 11,157.18 and 6,409.48

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Solution

The fourth proportional to 8,081.32, 11,157.18 and 6,409.48 is: 8,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.32 : 11,157.18 = 6,409.48 : x
  2. Step 2: Convert to fraction form
    8,081.32/11,157.18 = 6,409.48/x
  3. Step 3: Cross multiply
    8,081.32x = 11,157.18 × 6,409.48
  4. Step 4: Simplify right side
    8,081.32x = 71,511,722.07
  5. Step 5: Solve for x
    x = 71,511,722.07/8,081.32
  6. Step 6: Final answer
    x = 8,849.02

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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.