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Finding the Fourth Proportional to 10,807.46, 16,211.19 and 3,412.49

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Solution

The fourth proportional to 10,807.46, 16,211.19 and 3,412.49 is: 5,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.46 : 16,211.19 = 3,412.49 : x
  2. Step 2: Convert to fraction form
    10,807.46/16,211.19 = 3,412.49/x
  3. Step 3: Cross multiply
    10,807.46x = 16,211.19 × 3,412.49
  4. Step 4: Simplify right side
    10,807.46x = 55,320,523.76
  5. Step 5: Solve for x
    x = 55,320,523.76/10,807.46
  6. Step 6: Final answer
    x = 5,118.74

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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.