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Finding the Fourth Proportional to 7,851.68, 11,777.51 and 2,008.29

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Solution

The fourth proportional to 7,851.68, 11,777.51 and 2,008.29 is: 3,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.68 : 11,777.51 = 2,008.29 : x
  2. Step 2: Convert to fraction form
    7,851.68/11,777.51 = 2,008.29/x
  3. Step 3: Cross multiply
    7,851.68x = 11,777.51 × 2,008.29
  4. Step 4: Simplify right side
    7,851.68x = 23,652,655.56
  5. Step 5: Solve for x
    x = 23,652,655.56/7,851.68
  6. Step 6: Final answer
    x = 3,012.43

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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.