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Finding the Fourth Proportional to 27,866.34, 41,798.84 and 6,806.52

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Solution

The fourth proportional to 27,866.34, 41,798.84 and 6,806.52 is: 10,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.34 : 41,798.84 = 6,806.52 : x
  2. Step 2: Convert to fraction form
    27,866.34/41,798.84 = 6,806.52/x
  3. Step 3: Cross multiply
    27,866.34x = 41,798.84 × 6,806.52
  4. Step 4: Simplify right side
    27,866.34x = 284,504,606.40
  5. Step 5: Solve for x
    x = 284,504,606.40/27,866.34
  6. Step 6: Final answer
    x = 10,209.62

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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.