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Finding the Fourth Proportional to 10,952.70, 16,431.39 and 4,027.20

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Solution

The fourth proportional to 10,952.70, 16,431.39 and 4,027.20 is: 6,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.70 : 16,431.39 = 4,027.20 : x
  2. Step 2: Convert to fraction form
    10,952.70/16,431.39 = 4,027.20/x
  3. Step 3: Cross multiply
    10,952.70x = 16,431.39 × 4,027.20
  4. Step 4: Simplify right side
    10,952.70x = 66,172,493.81
  5. Step 5: Solve for x
    x = 66,172,493.81/10,952.70
  6. Step 6: Final answer
    x = 6,041.66

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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.