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Finding the Fourth Proportional to 7,768.97, 11,649.86 and 2,502.99

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Solution

The fourth proportional to 7,768.97, 11,649.86 and 2,502.99 is: 3,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.97 : 11,649.86 = 2,502.99 : x
  2. Step 2: Convert to fraction form
    7,768.97/11,649.86 = 2,502.99/x
  3. Step 3: Cross multiply
    7,768.97x = 11,649.86 × 2,502.99
  4. Step 4: Simplify right side
    7,768.97x = 29,159,470.57
  5. Step 5: Solve for x
    x = 29,159,470.57/7,768.97
  6. Step 6: Final answer
    x = 3,753.33

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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.