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Finding the Fourth Proportional to 27,657.57, 41,486.51 and 6,881.07

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Solution

The fourth proportional to 27,657.57, 41,486.51 and 6,881.07 is: 10,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.57 : 41,486.51 = 6,881.07 : x
  2. Step 2: Convert to fraction form
    27,657.57/41,486.51 = 6,881.07/x
  3. Step 3: Cross multiply
    27,657.57x = 41,486.51 × 6,881.07
  4. Step 4: Simplify right side
    27,657.57x = 285,471,544.96
  5. Step 5: Solve for x
    x = 285,471,544.96/27,657.57
  6. Step 6: Final answer
    x = 10,321.64

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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.