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Finding the Fourth Proportional to 7,391.72, 11,077.98 and 3,872.82

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Solution

The fourth proportional to 7,391.72, 11,077.98 and 3,872.82 is: 5,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.72 : 11,077.98 = 3,872.82 : x
  2. Step 2: Convert to fraction form
    7,391.72/11,077.98 = 3,872.82/x
  3. Step 3: Cross multiply
    7,391.72x = 11,077.98 × 3,872.82
  4. Step 4: Simplify right side
    7,391.72x = 42,903,049.52
  5. Step 5: Solve for x
    x = 42,903,049.52/7,391.72
  6. Step 6: Final answer
    x = 5,804.20

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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.