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Finding the Fourth Proportional to 7,872.38, 11,808.64 and 2,028.82

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Solution

The fourth proportional to 7,872.38, 11,808.64 and 2,028.82 is: 3,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.38 : 11,808.64 = 2,028.82 : x
  2. Step 2: Convert to fraction form
    7,872.38/11,808.64 = 2,028.82/x
  3. Step 3: Cross multiply
    7,872.38x = 11,808.64 × 2,028.82
  4. Step 4: Simplify right side
    7,872.38x = 23,957,605.00
  5. Step 5: Solve for x
    x = 23,957,605.00/7,872.38
  6. Step 6: Final answer
    x = 3,043.25

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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.