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Finding the Fourth Proportional to 6,896.16, 10,344.96 and 3,974.40

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Solution

The fourth proportional to 6,896.16, 10,344.96 and 3,974.40 is: 5,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.16 : 10,344.96 = 3,974.40 : x
  2. Step 2: Convert to fraction form
    6,896.16/10,344.96 = 3,974.40/x
  3. Step 3: Cross multiply
    6,896.16x = 10,344.96 × 3,974.40
  4. Step 4: Simplify right side
    6,896.16x = 41,115,009.02
  5. Step 5: Solve for x
    x = 41,115,009.02/6,896.16
  6. Step 6: Final answer
    x = 5,962.01

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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.