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Finding the Fourth Proportional to 6,906.40, 10,363.65 and 2,524.30

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Solution

The fourth proportional to 6,906.40, 10,363.65 and 2,524.30 is: 3,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.40 : 10,363.65 = 2,524.30 : x
  2. Step 2: Convert to fraction form
    6,906.40/10,363.65 = 2,524.30/x
  3. Step 3: Cross multiply
    6,906.40x = 10,363.65 × 2,524.30
  4. Step 4: Simplify right side
    6,906.40x = 26,160,961.70
  5. Step 5: Solve for x
    x = 26,160,961.70/6,906.40
  6. Step 6: Final answer
    x = 3,787.93

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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.