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Finding the Fourth Proportional to 27,809.90, 41,710.80 and 8,086.40

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Solution

The fourth proportional to 27,809.90, 41,710.80 and 8,086.40 is: 12,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.90 : 41,710.80 = 8,086.40 : x
  2. Step 2: Convert to fraction form
    27,809.90/41,710.80 = 8,086.40/x
  3. Step 3: Cross multiply
    27,809.90x = 41,710.80 × 8,086.40
  4. Step 4: Simplify right side
    27,809.90x = 337,290,213.12
  5. Step 5: Solve for x
    x = 337,290,213.12/27,809.90
  6. Step 6: Final answer
    x = 12,128.42

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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.