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Finding the Fourth Proportional to 10,682.64, 16,013.88 and 3,753.36

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Solution

The fourth proportional to 10,682.64, 16,013.88 and 3,753.36 is: 5,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.64 : 16,013.88 = 3,753.36 : x
  2. Step 2: Convert to fraction form
    10,682.64/16,013.88 = 3,753.36/x
  3. Step 3: Cross multiply
    10,682.64x = 16,013.88 × 3,753.36
  4. Step 4: Simplify right side
    10,682.64x = 60,105,856.64
  5. Step 5: Solve for x
    x = 60,105,856.64/10,682.64
  6. Step 6: Final answer
    x = 5,626.50

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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.