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Finding the Fourth Proportional to 27,685.68, 41,527.07 and 7,963.47

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Solution

The fourth proportional to 27,685.68, 41,527.07 and 7,963.47 is: 11,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.68 : 41,527.07 = 7,963.47 : x
  2. Step 2: Convert to fraction form
    27,685.68/41,527.07 = 7,963.47/x
  3. Step 3: Cross multiply
    27,685.68x = 41,527.07 × 7,963.47
  4. Step 4: Simplify right side
    27,685.68x = 330,699,368.50
  5. Step 5: Solve for x
    x = 330,699,368.50/27,685.68
  6. Step 6: Final answer
    x = 11,944.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.