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Finding the Fourth Proportional to 6,921.64, 10,372.38 and 3,454.12

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Solution

The fourth proportional to 6,921.64, 10,372.38 and 3,454.12 is: 5,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.64 : 10,372.38 = 3,454.12 : x
  2. Step 2: Convert to fraction form
    6,921.64/10,372.38 = 3,454.12/x
  3. Step 3: Cross multiply
    6,921.64x = 10,372.38 × 3,454.12
  4. Step 4: Simplify right side
    6,921.64x = 35,827,445.21
  5. Step 5: Solve for x
    x = 35,827,445.21/6,921.64
  6. Step 6: Final answer
    x = 5,176.15

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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.