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Finding the Fourth Proportional to 7,872.29, 11,808.89 and 2,028.90

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Solution

The fourth proportional to 7,872.29, 11,808.89 and 2,028.90 is: 3,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.29 : 11,808.89 = 2,028.90 : x
  2. Step 2: Convert to fraction form
    7,872.29/11,808.89 = 2,028.90/x
  3. Step 3: Cross multiply
    7,872.29x = 11,808.89 × 2,028.90
  4. Step 4: Simplify right side
    7,872.29x = 23,959,032.24
  5. Step 5: Solve for x
    x = 23,959,032.24/7,872.29
  6. Step 6: Final answer
    x = 3,043.46

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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.