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Finding the Fourth Proportional to 8,640.25, 11,919.78 and 5,283.20

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Solution

The fourth proportional to 8,640.25, 11,919.78 and 5,283.20 is: 7,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.25 : 11,919.78 = 5,283.20 : x
  2. Step 2: Convert to fraction form
    8,640.25/11,919.78 = 5,283.20/x
  3. Step 3: Cross multiply
    8,640.25x = 11,919.78 × 5,283.20
  4. Step 4: Simplify right side
    8,640.25x = 62,974,581.70
  5. Step 5: Solve for x
    x = 62,974,581.70/8,640.25
  6. Step 6: Final answer
    x = 7,288.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.