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Finding the Fourth Proportional to 8,029.53, 12,046.32 and 3,099.47

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Solution

The fourth proportional to 8,029.53, 12,046.32 and 3,099.47 is: 4,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.53 : 12,046.32 = 3,099.47 : x
  2. Step 2: Convert to fraction form
    8,029.53/12,046.32 = 3,099.47/x
  3. Step 3: Cross multiply
    8,029.53x = 12,046.32 × 3,099.47
  4. Step 4: Simplify right side
    8,029.53x = 37,337,147.22
  5. Step 5: Solve for x
    x = 37,337,147.22/8,029.53
  6. Step 6: Final answer
    x = 4,649.98

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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.