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Finding the Fourth Proportional to 7,261.48, 10,874.94 and 4,177

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Solution

The fourth proportional to 7,261.48, 10,874.94 and 4,177 is: 6,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.48 : 10,874.94 = 4,177 : x
  2. Step 2: Convert to fraction form
    7,261.48/10,874.94 = 4,177/x
  3. Step 3: Cross multiply
    7,261.48x = 10,874.94 × 4,177
  4. Step 4: Simplify right side
    7,261.48x = 45,424,624.38
  5. Step 5: Solve for x
    x = 45,424,624.38/7,261.48
  6. Step 6: Final answer
    x = 6,255.56

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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.