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Finding the Fourth Proportional to 27,910.34, 41,866.84 and 8,187.26

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Solution

The fourth proportional to 27,910.34, 41,866.84 and 8,187.26 is: 12,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.34 : 41,866.84 = 8,187.26 : x
  2. Step 2: Convert to fraction form
    27,910.34/41,866.84 = 8,187.26/x
  3. Step 3: Cross multiply
    27,910.34x = 41,866.84 × 8,187.26
  4. Step 4: Simplify right side
    27,910.34x = 342,774,704.46
  5. Step 5: Solve for x
    x = 342,774,704.46/27,910.34
  6. Step 6: Final answer
    x = 12,281.28

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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.