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Finding the Fourth Proportional to 6,884.32, 10,327.92 and 3,419.68

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Solution

The fourth proportional to 6,884.32, 10,327.92 and 3,419.68 is: 5,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.32 : 10,327.92 = 3,419.68 : x
  2. Step 2: Convert to fraction form
    6,884.32/10,327.92 = 3,419.68/x
  3. Step 3: Cross multiply
    6,884.32x = 10,327.92 × 3,419.68
  4. Step 4: Simplify right side
    6,884.32x = 35,318,181.47
  5. Step 5: Solve for x
    x = 35,318,181.47/6,884.32
  6. Step 6: Final answer
    x = 5,130.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.