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Finding the Fourth Proportional to 7,859.34, 11,786.31 and 2,664

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Solution

The fourth proportional to 7,859.34, 11,786.31 and 2,664 is: 3,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.34 : 11,786.31 = 2,664 : x
  2. Step 2: Convert to fraction form
    7,859.34/11,786.31 = 2,664/x
  3. Step 3: Cross multiply
    7,859.34x = 11,786.31 × 2,664
  4. Step 4: Simplify right side
    7,859.34x = 31,398,729.84
  5. Step 5: Solve for x
    x = 31,398,729.84/7,859.34
  6. Step 6: Final answer
    x = 3,995.08

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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.