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Finding the Fourth Proportional to 26,583.28, 39,882.71 and 7,863.82

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Solution

The fourth proportional to 26,583.28, 39,882.71 and 7,863.82 is: 11,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583.28 : 39,882.71 = 7,863.82 : x
  2. Step 2: Convert to fraction form
    26,583.28/39,882.71 = 7,863.82/x
  3. Step 3: Cross multiply
    26,583.28x = 39,882.71 × 7,863.82
  4. Step 4: Simplify right side
    26,583.28x = 313,630,372.50
  5. Step 5: Solve for x
    x = 313,630,372.50/26,583.28
  6. Step 6: Final answer
    x = 11,798.03

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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.