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Finding the Fourth Proportional to 10,046.66, 15,064.50 and 4,198.85

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Solution

The fourth proportional to 10,046.66, 15,064.50 and 4,198.85 is: 6,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.66 : 15,064.50 = 4,198.85 : x
  2. Step 2: Convert to fraction form
    10,046.66/15,064.50 = 4,198.85/x
  3. Step 3: Cross multiply
    10,046.66x = 15,064.50 × 4,198.85
  4. Step 4: Simplify right side
    10,046.66x = 63,253,575.83
  5. Step 5: Solve for x
    x = 63,253,575.83/10,046.66
  6. Step 6: Final answer
    x = 6,295.98

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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.