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Finding the Fourth Proportional to 8,029.23, 12,046.89 and 3,099.17

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Solution

The fourth proportional to 8,029.23, 12,046.89 and 3,099.17 is: 4,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.23 : 12,046.89 = 3,099.17 : x
  2. Step 2: Convert to fraction form
    8,029.23/12,046.89 = 3,099.17/x
  3. Step 3: Cross multiply
    8,029.23x = 12,046.89 × 3,099.17
  4. Step 4: Simplify right side
    8,029.23x = 37,335,360.08
  5. Step 5: Solve for x
    x = 37,335,360.08/8,029.23
  6. Step 6: Final answer
    x = 4,649.93

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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.