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Finding the Fourth Proportional to 27,585.84, 41,366.48 and 7,859.73

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Solution

The fourth proportional to 27,585.84, 41,366.48 and 7,859.73 is: 11,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.84 : 41,366.48 = 7,859.73 : x
  2. Step 2: Convert to fraction form
    27,585.84/41,366.48 = 7,859.73/x
  3. Step 3: Cross multiply
    27,585.84x = 41,366.48 × 7,859.73
  4. Step 4: Simplify right side
    27,585.84x = 325,129,324.55
  5. Step 5: Solve for x
    x = 325,129,324.55/27,585.84
  6. Step 6: Final answer
    x = 11,786.09

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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.