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Finding the Fourth Proportional to 7,940.88, 11,878.49 and 7,219.17

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Solution

The fourth proportional to 7,940.88, 11,878.49 and 7,219.17 is: 10,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.88 : 11,878.49 = 7,219.17 : x
  2. Step 2: Convert to fraction form
    7,940.88/11,878.49 = 7,219.17/x
  3. Step 3: Cross multiply
    7,940.88x = 11,878.49 × 7,219.17
  4. Step 4: Simplify right side
    7,940.88x = 85,752,856.70
  5. Step 5: Solve for x
    x = 85,752,856.70/7,940.88
  6. Step 6: Final answer
    x = 10,798.91

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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.