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Finding the Fourth Proportional to 7,418.40, 11,057.20 and 6,856.64

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Solution

The fourth proportional to 7,418.40, 11,057.20 and 6,856.64 is: 10,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.40 : 11,057.20 = 6,856.64 : x
  2. Step 2: Convert to fraction form
    7,418.40/11,057.20 = 6,856.64/x
  3. Step 3: Cross multiply
    7,418.40x = 11,057.20 × 6,856.64
  4. Step 4: Simplify right side
    7,418.40x = 75,815,239.81
  5. Step 5: Solve for x
    x = 75,815,239.81/7,418.40
  6. Step 6: Final answer
    x = 10,219.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.