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Finding the Fourth Proportional to 7,419.56, 11,118.24 and 6,872.80

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Solution

The fourth proportional to 7,419.56, 11,118.24 and 6,872.80 is: 10,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.56 : 11,118.24 = 6,872.80 : x
  2. Step 2: Convert to fraction form
    7,419.56/11,118.24 = 6,872.80/x
  3. Step 3: Cross multiply
    7,419.56x = 11,118.24 × 6,872.80
  4. Step 4: Simplify right side
    7,419.56x = 76,413,439.87
  5. Step 5: Solve for x
    x = 76,413,439.87/7,419.56
  6. Step 6: Final answer
    x = 10,298.92

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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.