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Finding the Fourth Proportional to 7,871.77, 10,855.78 and 5,180.41

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Solution

The fourth proportional to 7,871.77, 10,855.78 and 5,180.41 is: 7,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.77 : 10,855.78 = 5,180.41 : x
  2. Step 2: Convert to fraction form
    7,871.77/10,855.78 = 5,180.41/x
  3. Step 3: Cross multiply
    7,871.77x = 10,855.78 × 5,180.41
  4. Step 4: Simplify right side
    7,871.77x = 56,237,391.27
  5. Step 5: Solve for x
    x = 56,237,391.27/7,871.77
  6. Step 6: Final answer
    x = 7,144.19

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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.