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Finding the Fourth Proportional to 11,225.98, 16,827.22 and 3,827.85

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Solution

The fourth proportional to 11,225.98, 16,827.22 and 3,827.85 is: 5,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.98 : 16,827.22 = 3,827.85 : x
  2. Step 2: Convert to fraction form
    11,225.98/16,827.22 = 3,827.85/x
  3. Step 3: Cross multiply
    11,225.98x = 16,827.22 × 3,827.85
  4. Step 4: Simplify right side
    11,225.98x = 64,412,074.08
  5. Step 5: Solve for x
    x = 64,412,074.08/11,225.98
  6. Step 6: Final answer
    x = 5,737.77

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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.