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Finding the Fourth Proportional to 7,648.13, 11,469.99 and 2,101.66

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Solution

The fourth proportional to 7,648.13, 11,469.99 and 2,101.66 is: 3,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.13 : 11,469.99 = 2,101.66 : x
  2. Step 2: Convert to fraction form
    7,648.13/11,469.99 = 2,101.66/x
  3. Step 3: Cross multiply
    7,648.13x = 11,469.99 × 2,101.66
  4. Step 4: Simplify right side
    7,648.13x = 24,105,990.51
  5. Step 5: Solve for x
    x = 24,105,990.51/7,648.13
  6. Step 6: Final answer
    x = 3,151.88

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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.