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Finding the Fourth Proportional to 6,998.40, 10,493.55 and 2,616.30

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Solution

The fourth proportional to 6,998.40, 10,493.55 and 2,616.30 is: 3,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.40 : 10,493.55 = 2,616.30 : x
  2. Step 2: Convert to fraction form
    6,998.40/10,493.55 = 2,616.30/x
  3. Step 3: Cross multiply
    6,998.40x = 10,493.55 × 2,616.30
  4. Step 4: Simplify right side
    6,998.40x = 27,454,274.87
  5. Step 5: Solve for x
    x = 27,454,274.87/6,998.40
  6. Step 6: Final answer
    x = 3,922.94

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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.