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Finding the Fourth Proportional to 11,143.89, 16,698.25 and 4,114.23

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Solution

The fourth proportional to 11,143.89, 16,698.25 and 4,114.23 is: 6,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.89 : 16,698.25 = 4,114.23 : x
  2. Step 2: Convert to fraction form
    11,143.89/16,698.25 = 4,114.23/x
  3. Step 3: Cross multiply
    11,143.89x = 16,698.25 × 4,114.23
  4. Step 4: Simplify right side
    11,143.89x = 68,700,441.10
  5. Step 5: Solve for x
    x = 68,700,441.10/11,143.89
  6. Step 6: Final answer
    x = 6,164.85

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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.