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Finding the Fourth Proportional to 27,866.37, 41,800.20 and 6,806.59

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Solution

The fourth proportional to 27,866.37, 41,800.20 and 6,806.59 is: 10,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.37 : 41,800.20 = 6,806.59 : x
  2. Step 2: Convert to fraction form
    27,866.37/41,800.20 = 6,806.59/x
  3. Step 3: Cross multiply
    27,866.37x = 41,800.20 × 6,806.59
  4. Step 4: Simplify right side
    27,866.37x = 284,516,823.32
  5. Step 5: Solve for x
    x = 284,516,823.32/27,866.37
  6. Step 6: Final answer
    x = 10,210.04

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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.