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Finding the Fourth Proportional to 27,586.81, 41,380.59 and 7,865.36

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Solution

The fourth proportional to 27,586.81, 41,380.59 and 7,865.36 is: 11,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.81 : 41,380.59 = 7,865.36 : x
  2. Step 2: Convert to fraction form
    27,586.81/41,380.59 = 7,865.36/x
  3. Step 3: Cross multiply
    27,586.81x = 41,380.59 × 7,865.36
  4. Step 4: Simplify right side
    27,586.81x = 325,473,370.31
  5. Step 5: Solve for x
    x = 325,473,370.31/27,586.81
  6. Step 6: Final answer
    x = 11,798.15

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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.