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Finding the Fourth Proportional to 10,415.14, 14,372.82 and 5,939.08

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Solution

The fourth proportional to 10,415.14, 14,372.82 and 5,939.08 is: 8,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.14 : 14,372.82 = 5,939.08 : x
  2. Step 2: Convert to fraction form
    10,415.14/14,372.82 = 5,939.08/x
  3. Step 3: Cross multiply
    10,415.14x = 14,372.82 × 5,939.08
  4. Step 4: Simplify right side
    10,415.14x = 85,361,327.81
  5. Step 5: Solve for x
    x = 85,361,327.81/10,415.14
  6. Step 6: Final answer
    x = 8,195.89

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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.