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Finding the Fourth Proportional to 10,143.53, 13,997.82 and 5,667.32

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Solution

The fourth proportional to 10,143.53, 13,997.82 and 5,667.32 is: 7,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.53 : 13,997.82 = 5,667.32 : x
  2. Step 2: Convert to fraction form
    10,143.53/13,997.82 = 5,667.32/x
  3. Step 3: Cross multiply
    10,143.53x = 13,997.82 × 5,667.32
  4. Step 4: Simplify right side
    10,143.53x = 79,330,086.49
  5. Step 5: Solve for x
    x = 79,330,086.49/10,143.53
  6. Step 6: Final answer
    x = 7,820.76

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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.