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Finding the Fourth Proportional to 26,583.97, 39,883.75 and 7,864.50

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Solution

The fourth proportional to 26,583.97, 39,883.75 and 7,864.50 is: 11,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583.97 : 39,883.75 = 7,864.50 : x
  2. Step 2: Convert to fraction form
    26,583.97/39,883.75 = 7,864.50/x
  3. Step 3: Cross multiply
    26,583.97x = 39,883.75 × 7,864.50
  4. Step 4: Simplify right side
    26,583.97x = 313,665,751.88
  5. Step 5: Solve for x
    x = 313,665,751.88/26,583.97
  6. Step 6: Final answer
    x = 11,799.06

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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.