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Finding the Fourth Proportional to 8,159.07, 12,242.79 and 3,999

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Solution

The fourth proportional to 8,159.07, 12,242.79 and 3,999 is: 6,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.07 : 12,242.79 = 3,999 : x
  2. Step 2: Convert to fraction form
    8,159.07/12,242.79 = 3,999/x
  3. Step 3: Cross multiply
    8,159.07x = 12,242.79 × 3,999
  4. Step 4: Simplify right side
    8,159.07x = 48,958,917.21
  5. Step 5: Solve for x
    x = 48,958,917.21/8,159.07
  6. Step 6: Final answer
    x = 6,000.55

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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.