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Finding the Fourth Proportional to 7,851.67, 11,778.28 and 2,586.73

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Solution

The fourth proportional to 7,851.67, 11,778.28 and 2,586.73 is: 3,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.67 : 11,778.28 = 2,586.73 : x
  2. Step 2: Convert to fraction form
    7,851.67/11,778.28 = 2,586.73/x
  3. Step 3: Cross multiply
    7,851.67x = 11,778.28 × 2,586.73
  4. Step 4: Simplify right side
    7,851.67x = 30,467,221.76
  5. Step 5: Solve for x
    x = 30,467,221.76/7,851.67
  6. Step 6: Final answer
    x = 3,880.35

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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.