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Finding the Fourth Proportional to 10,813.97, 16,223.12 and 4,573.96

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Solution

The fourth proportional to 10,813.97, 16,223.12 and 4,573.96 is: 6,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.97 : 16,223.12 = 4,573.96 : x
  2. Step 2: Convert to fraction form
    10,813.97/16,223.12 = 4,573.96/x
  3. Step 3: Cross multiply
    10,813.97x = 16,223.12 × 4,573.96
  4. Step 4: Simplify right side
    10,813.97x = 74,203,872.83
  5. Step 5: Solve for x
    x = 74,203,872.83/10,813.97
  6. Step 6: Final answer
    x = 6,861.85

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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.