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Finding the Fourth Proportional to 6,997.25, 10,493.64 and 2,316.17

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Solution

The fourth proportional to 6,997.25, 10,493.64 and 2,316.17 is: 3,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.25 : 10,493.64 = 2,316.17 : x
  2. Step 2: Convert to fraction form
    6,997.25/10,493.64 = 2,316.17/x
  3. Step 3: Cross multiply
    6,997.25x = 10,493.64 × 2,316.17
  4. Step 4: Simplify right side
    6,997.25x = 24,305,001.69
  5. Step 5: Solve for x
    x = 24,305,001.69/6,997.25
  6. Step 6: Final answer
    x = 3,473.51

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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.