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Finding the Fourth Proportional to 6,997.19, 10,489.50 and 6,388.47

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Solution

The fourth proportional to 6,997.19, 10,489.50 and 6,388.47 is: 9,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.19 : 10,489.50 = 6,388.47 : x
  2. Step 2: Convert to fraction form
    6,997.19/10,489.50 = 6,388.47/x
  3. Step 3: Cross multiply
    6,997.19x = 10,489.50 × 6,388.47
  4. Step 4: Simplify right side
    6,997.19x = 67,011,856.07
  5. Step 5: Solve for x
    x = 67,011,856.07/6,997.19
  6. Step 6: Final answer
    x = 9,576.97

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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.