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Finding the Fourth Proportional to 27,713.26, 41,569.61 and 6,936.76

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Solution

The fourth proportional to 27,713.26, 41,569.61 and 6,936.76 is: 10,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.26 : 41,569.61 = 6,936.76 : x
  2. Step 2: Convert to fraction form
    27,713.26/41,569.61 = 6,936.76/x
  3. Step 3: Cross multiply
    27,713.26x = 41,569.61 × 6,936.76
  4. Step 4: Simplify right side
    27,713.26x = 288,358,373.18
  5. Step 5: Solve for x
    x = 288,358,373.18/27,713.26
  6. Step 6: Final answer
    x = 10,405.07

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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.