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Finding the Fourth Proportional to 27,684.87, 41,527.31 and 6,908.55

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Solution

The fourth proportional to 27,684.87, 41,527.31 and 6,908.55 is: 10,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.87 : 41,527.31 = 6,908.55 : x
  2. Step 2: Convert to fraction form
    27,684.87/41,527.31 = 6,908.55/x
  3. Step 3: Cross multiply
    27,684.87x = 41,527.31 × 6,908.55
  4. Step 4: Simplify right side
    27,684.87x = 286,893,462.96
  5. Step 5: Solve for x
    x = 286,893,462.96/27,684.87
  6. Step 6: Final answer
    x = 10,362.83

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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.