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Finding the Fourth Proportional to 26,583, 39,881 and 7,862.92

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Solution

The fourth proportional to 26,583, 39,881 and 7,862.92 is: 11,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583 : 39,881 = 7,862.92 : x
  2. Step 2: Convert to fraction form
    26,583/39,881 = 7,862.92/x
  3. Step 3: Cross multiply
    26,583x = 39,881 × 7,862.92
  4. Step 4: Simplify right side
    26,583x = 313,581,112.52
  5. Step 5: Solve for x
    x = 313,581,112.52/26,583
  6. Step 6: Final answer
    x = 11,796.30

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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.