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Finding the Fourth Proportional to 7,077.56, 10,616.34 and 3,177.41

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Solution

The fourth proportional to 7,077.56, 10,616.34 and 3,177.41 is: 4,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.56 : 10,616.34 = 3,177.41 : x
  2. Step 2: Convert to fraction form
    7,077.56/10,616.34 = 3,177.41/x
  3. Step 3: Cross multiply
    7,077.56x = 10,616.34 × 3,177.41
  4. Step 4: Simplify right side
    7,077.56x = 33,732,464.88
  5. Step 5: Solve for x
    x = 33,732,464.88/7,077.56
  6. Step 6: Final answer
    x = 4,766.12

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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.