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Finding the Fourth Proportional to 27,409.39, 41,116.66 and 7,687.86

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Solution

The fourth proportional to 27,409.39, 41,116.66 and 7,687.86 is: 11,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.39 : 41,116.66 = 7,687.86 : x
  2. Step 2: Convert to fraction form
    27,409.39/41,116.66 = 7,687.86/x
  3. Step 3: Cross multiply
    27,409.39x = 41,116.66 × 7,687.86
  4. Step 4: Simplify right side
    27,409.39x = 316,099,226.87
  5. Step 5: Solve for x
    x = 316,099,226.87/27,409.39
  6. Step 6: Final answer
    x = 11,532.52

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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.