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Finding the Fourth Proportional to 8,049.83, 12,068.75 and 4,097.89

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Solution

The fourth proportional to 8,049.83, 12,068.75 and 4,097.89 is: 6,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.83 : 12,068.75 = 4,097.89 : x
  2. Step 2: Convert to fraction form
    8,049.83/12,068.75 = 4,097.89/x
  3. Step 3: Cross multiply
    8,049.83x = 12,068.75 × 4,097.89
  4. Step 4: Simplify right side
    8,049.83x = 49,456,412.22
  5. Step 5: Solve for x
    x = 49,456,412.22/8,049.83
  6. Step 6: Final answer
    x = 6,143.78

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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.