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Finding the Fourth Proportional to 8,096.78, 12,141 and 3,710.48

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Solution

The fourth proportional to 8,096.78, 12,141 and 3,710.48 is: 5,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.78 : 12,141 = 3,710.48 : x
  2. Step 2: Convert to fraction form
    8,096.78/12,141 = 3,710.48/x
  3. Step 3: Cross multiply
    8,096.78x = 12,141 × 3,710.48
  4. Step 4: Simplify right side
    8,096.78x = 45,048,937.68
  5. Step 5: Solve for x
    x = 45,048,937.68/8,096.78
  6. Step 6: Final answer
    x = 5,563.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.