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Finding the Fourth Proportional to 7,895.89, 11,843.88 and 2,052.51

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Solution

The fourth proportional to 7,895.89, 11,843.88 and 2,052.51 is: 3,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.89 : 11,843.88 = 2,052.51 : x
  2. Step 2: Convert to fraction form
    7,895.89/11,843.88 = 2,052.51/x
  3. Step 3: Cross multiply
    7,895.89x = 11,843.88 × 2,052.51
  4. Step 4: Simplify right side
    7,895.89x = 24,309,682.14
  5. Step 5: Solve for x
    x = 24,309,682.14/7,895.89
  6. Step 6: Final answer
    x = 3,078.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.