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Finding the Fourth Proportional to 7,904.67, 11,859.17 and 3,221.79

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Solution

The fourth proportional to 7,904.67, 11,859.17 and 3,221.79 is: 4,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.67 : 11,859.17 = 3,221.79 : x
  2. Step 2: Convert to fraction form
    7,904.67/11,859.17 = 3,221.79/x
  3. Step 3: Cross multiply
    7,904.67x = 11,859.17 × 3,221.79
  4. Step 4: Simplify right side
    7,904.67x = 38,207,739.21
  5. Step 5: Solve for x
    x = 38,207,739.21/7,904.67
  6. Step 6: Final answer
    x = 4,833.57

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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.