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Finding the Fourth Proportional to 10,839.42, 14,958.36 and 5,871.42

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Solution

The fourth proportional to 10,839.42, 14,958.36 and 5,871.42 is: 8,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.42 : 14,958.36 = 5,871.42 : x
  2. Step 2: Convert to fraction form
    10,839.42/14,958.36 = 5,871.42/x
  3. Step 3: Cross multiply
    10,839.42x = 14,958.36 × 5,871.42
  4. Step 4: Simplify right side
    10,839.42x = 87,826,814.07
  5. Step 5: Solve for x
    x = 87,826,814.07/10,839.42
  6. Step 6: Final answer
    x = 8,102.54

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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.