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Finding the Fourth Proportional to 7,851.98, 11,777.91 and 2,008.58

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Solution

The fourth proportional to 7,851.98, 11,777.91 and 2,008.58 is: 3,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.98 : 11,777.91 = 2,008.58 : x
  2. Step 2: Convert to fraction form
    7,851.98/11,777.91 = 2,008.58/x
  3. Step 3: Cross multiply
    7,851.98x = 11,777.91 × 2,008.58
  4. Step 4: Simplify right side
    7,851.98x = 23,656,874.47
  5. Step 5: Solve for x
    x = 23,656,874.47/7,851.98
  6. Step 6: Final answer
    x = 3,012.85

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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.