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Finding the Fourth Proportional to 8,064.15, 12,097.76 and 2,798.96

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Solution

The fourth proportional to 8,064.15, 12,097.76 and 2,798.96 is: 4,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.15 : 12,097.76 = 2,798.96 : x
  2. Step 2: Convert to fraction form
    8,064.15/12,097.76 = 2,798.96/x
  3. Step 3: Cross multiply
    8,064.15x = 12,097.76 × 2,798.96
  4. Step 4: Simplify right side
    8,064.15x = 33,861,071.85
  5. Step 5: Solve for x
    x = 33,861,071.85/8,064.15
  6. Step 6: Final answer
    x = 4,198.96

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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.