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Finding the Fourth Proportional to 10,993.31, 16,429.61 and 8,037.98

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Solution

The fourth proportional to 10,993.31, 16,429.61 and 8,037.98 is: 12,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.31 : 16,429.61 = 8,037.98 : x
  2. Step 2: Convert to fraction form
    10,993.31/16,429.61 = 8,037.98/x
  3. Step 3: Cross multiply
    10,993.31x = 16,429.61 × 8,037.98
  4. Step 4: Simplify right side
    10,993.31x = 132,060,754.25
  5. Step 5: Solve for x
    x = 132,060,754.25/10,993.31
  6. Step 6: Final answer
    x = 12,012.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.