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Finding the Fourth Proportional to 26,576.76, 39,872.40 and 7,857.72

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Solution

The fourth proportional to 26,576.76, 39,872.40 and 7,857.72 is: 11,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576.76 : 39,872.40 = 7,857.72 : x
  2. Step 2: Convert to fraction form
    26,576.76/39,872.40 = 7,857.72/x
  3. Step 3: Cross multiply
    26,576.76x = 39,872.40 × 7,857.72
  4. Step 4: Simplify right side
    26,576.76x = 313,306,154.93
  5. Step 5: Solve for x
    x = 313,306,154.93/26,576.76
  6. Step 6: Final answer
    x = 11,788.73

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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.