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Finding the Fourth Proportional to 11,778.12, 17,668.80 and 4,851

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Solution

The fourth proportional to 11,778.12, 17,668.80 and 4,851 is: 7,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.12 : 17,668.80 = 4,851 : x
  2. Step 2: Convert to fraction form
    11,778.12/17,668.80 = 4,851/x
  3. Step 3: Cross multiply
    11,778.12x = 17,668.80 × 4,851
  4. Step 4: Simplify right side
    11,778.12x = 85,711,348.80
  5. Step 5: Solve for x
    x = 85,711,348.80/11,778.12
  6. Step 6: Final answer
    x = 7,277.17

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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.