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Finding the Fourth Proportional to 27,910.34, 41,864.94 and 8,188.46

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Solution

The fourth proportional to 27,910.34, 41,864.94 and 8,188.46 is: 12,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.34 : 41,864.94 = 8,188.46 : x
  2. Step 2: Convert to fraction form
    27,910.34/41,864.94 = 8,188.46/x
  3. Step 3: Cross multiply
    27,910.34x = 41,864.94 × 8,188.46
  4. Step 4: Simplify right side
    27,910.34x = 342,809,386.59
  5. Step 5: Solve for x
    x = 342,809,386.59/27,910.34
  6. Step 6: Final answer
    x = 12,282.52

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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.