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Finding the Fourth Proportional to 7,463.38, 11,186.86 and 3,078.44

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Solution

The fourth proportional to 7,463.38, 11,186.86 and 3,078.44 is: 4,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.38 : 11,186.86 = 3,078.44 : x
  2. Step 2: Convert to fraction form
    7,463.38/11,186.86 = 3,078.44/x
  3. Step 3: Cross multiply
    7,463.38x = 11,186.86 × 3,078.44
  4. Step 4: Simplify right side
    7,463.38x = 34,438,077.30
  5. Step 5: Solve for x
    x = 34,438,077.30/7,463.38
  6. Step 6: Final answer
    x = 4,614.27

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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.