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Finding the Fourth Proportional to 7,781.74, 11,668.66 and 3,833.30

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Solution

The fourth proportional to 7,781.74, 11,668.66 and 3,833.30 is: 5,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.74 : 11,668.66 = 3,833.30 : x
  2. Step 2: Convert to fraction form
    7,781.74/11,668.66 = 3,833.30/x
  3. Step 3: Cross multiply
    7,781.74x = 11,668.66 × 3,833.30
  4. Step 4: Simplify right side
    7,781.74x = 44,729,493.97
  5. Step 5: Solve for x
    x = 44,729,493.97/7,781.74
  6. Step 6: Final answer
    x = 5,748.01

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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.