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Finding the Fourth Proportional to 7,851.90, 11,778.25 and 2,008.56

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Solution

The fourth proportional to 7,851.90, 11,778.25 and 2,008.56 is: 3,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.90 : 11,778.25 = 2,008.56 : x
  2. Step 2: Convert to fraction form
    7,851.90/11,778.25 = 2,008.56/x
  3. Step 3: Cross multiply
    7,851.90x = 11,778.25 × 2,008.56
  4. Step 4: Simplify right side
    7,851.90x = 23,657,321.82
  5. Step 5: Solve for x
    x = 23,657,321.82/7,851.90
  6. Step 6: Final answer
    x = 3,012.94

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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.