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Finding the Fourth Proportional to 7,871.16, 11,805.42 and 2,939.49

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Solution

The fourth proportional to 7,871.16, 11,805.42 and 2,939.49 is: 4,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.16 : 11,805.42 = 2,939.49 : x
  2. Step 2: Convert to fraction form
    7,871.16/11,805.42 = 2,939.49/x
  3. Step 3: Cross multiply
    7,871.16x = 11,805.42 × 2,939.49
  4. Step 4: Simplify right side
    7,871.16x = 34,701,914.04
  5. Step 5: Solve for x
    x = 34,701,914.04/7,871.16
  6. Step 6: Final answer
    x = 4,408.74

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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.