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Finding the Fourth Proportional to 7,712.00, 10,640.31 and 5,196.95

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Solution

The fourth proportional to 7,712.00, 10,640.31 and 5,196.95 is: 7,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.00 : 10,640.31 = 5,196.95 : x
  2. Step 2: Convert to fraction form
    7,712.00/10,640.31 = 5,196.95/x
  3. Step 3: Cross multiply
    7,712.00x = 10,640.31 × 5,196.95
  4. Step 4: Simplify right side
    7,712.00x = 55,297,105.85
  5. Step 5: Solve for x
    x = 55,297,105.85/7,712.00
  6. Step 6: Final answer
    x = 7,170.27

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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.