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Finding the Fourth Proportional to 10,804.46, 16,206.68 and 4,229.82

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Solution

The fourth proportional to 10,804.46, 16,206.68 and 4,229.82 is: 6,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.46 : 16,206.68 = 4,229.82 : x
  2. Step 2: Convert to fraction form
    10,804.46/16,206.68 = 4,229.82/x
  3. Step 3: Cross multiply
    10,804.46x = 16,206.68 × 4,229.82
  4. Step 4: Simplify right side
    10,804.46x = 68,551,349.77
  5. Step 5: Solve for x
    x = 68,551,349.77/10,804.46
  6. Step 6: Final answer
    x = 6,344.73

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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.