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Finding the Fourth Proportional to 27,660.57, 41,491.01 and 6,884.07

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Solution

The fourth proportional to 27,660.57, 41,491.01 and 6,884.07 is: 10,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660.57 : 41,491.01 = 6,884.07 : x
  2. Step 2: Convert to fraction form
    27,660.57/41,491.01 = 6,884.07/x
  3. Step 3: Cross multiply
    27,660.57x = 41,491.01 × 6,884.07
  4. Step 4: Simplify right side
    27,660.57x = 285,627,017.21
  5. Step 5: Solve for x
    x = 285,627,017.21/27,660.57
  6. Step 6: Final answer
    x = 10,326.14

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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.