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Finding the Fourth Proportional to 27,685.46, 41,527.98 and 6,908.96

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Solution

The fourth proportional to 27,685.46, 41,527.98 and 6,908.96 is: 10,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.46 : 41,527.98 = 6,908.96 : x
  2. Step 2: Convert to fraction form
    27,685.46/41,527.98 = 6,908.96/x
  3. Step 3: Cross multiply
    27,685.46x = 41,527.98 × 6,908.96
  4. Step 4: Simplify right side
    27,685.46x = 286,915,152.70
  5. Step 5: Solve for x
    x = 286,915,152.70/27,685.46
  6. Step 6: Final answer
    x = 10,363.39

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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.