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Finding the Fourth Proportional to 27,780.65, 41,675.07 and 8,056.64

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Solution

The fourth proportional to 27,780.65, 41,675.07 and 8,056.64 is: 12,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.65 : 41,675.07 = 8,056.64 : x
  2. Step 2: Convert to fraction form
    27,780.65/41,675.07 = 8,056.64/x
  3. Step 3: Cross multiply
    27,780.65x = 41,675.07 × 8,056.64
  4. Step 4: Simplify right side
    27,780.65x = 335,761,170.36
  5. Step 5: Solve for x
    x = 335,761,170.36/27,780.65
  6. Step 6: Final answer
    x = 12,086.15

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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.