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Finding the Fourth Proportional to 10,144, 13,998.90 and 5,952.16

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Solution

The fourth proportional to 10,144, 13,998.90 and 5,952.16 is: 8,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144 : 13,998.90 = 5,952.16 : x
  2. Step 2: Convert to fraction form
    10,144/13,998.90 = 5,952.16/x
  3. Step 3: Cross multiply
    10,144x = 13,998.90 × 5,952.16
  4. Step 4: Simplify right side
    10,144x = 83,323,692.62
  5. Step 5: Solve for x
    x = 83,323,692.62/10,144
  6. Step 6: Final answer
    x = 8,214.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.