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Finding the Fourth Proportional to 8,042.46, 12,064.14 and 2,198.94

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Solution

The fourth proportional to 8,042.46, 12,064.14 and 2,198.94 is: 3,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.46 : 12,064.14 = 2,198.94 : x
  2. Step 2: Convert to fraction form
    8,042.46/12,064.14 = 2,198.94/x
  3. Step 3: Cross multiply
    8,042.46x = 12,064.14 × 2,198.94
  4. Step 4: Simplify right side
    8,042.46x = 26,528,320.01
  5. Step 5: Solve for x
    x = 26,528,320.01/8,042.46
  6. Step 6: Final answer
    x = 3,298.53

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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.