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Finding the Fourth Proportional to 27,866.56, 41,800.48 and 6,806.77

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Solution

The fourth proportional to 27,866.56, 41,800.48 and 6,806.77 is: 10,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.56 : 41,800.48 = 6,806.77 : x
  2. Step 2: Convert to fraction form
    27,866.56/41,800.48 = 6,806.77/x
  3. Step 3: Cross multiply
    27,866.56x = 41,800.48 × 6,806.77
  4. Step 4: Simplify right side
    27,866.56x = 284,526,253.25
  5. Step 5: Solve for x
    x = 284,526,253.25/27,866.56
  6. Step 6: Final answer
    x = 10,210.31

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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.