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Finding the Fourth Proportional to 10,951.97, 16,403.27 and 7,679.66

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Solution

The fourth proportional to 10,951.97, 16,403.27 and 7,679.66 is: 11,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.97 : 16,403.27 = 7,679.66 : x
  2. Step 2: Convert to fraction form
    10,951.97/16,403.27 = 7,679.66/x
  3. Step 3: Cross multiply
    10,951.97x = 16,403.27 × 7,679.66
  4. Step 4: Simplify right side
    10,951.97x = 125,971,416.07
  5. Step 5: Solve for x
    x = 125,971,416.07/10,951.97
  6. Step 6: Final answer
    x = 11,502.17

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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.