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Finding the Fourth Proportional to 10,811.71, 16,217.13 and 3,416.59

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Solution

The fourth proportional to 10,811.71, 16,217.13 and 3,416.59 is: 5,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.71 : 16,217.13 = 3,416.59 : x
  2. Step 2: Convert to fraction form
    10,811.71/16,217.13 = 3,416.59/x
  3. Step 3: Cross multiply
    10,811.71x = 16,217.13 × 3,416.59
  4. Step 4: Simplify right side
    10,811.71x = 55,407,284.19
  5. Step 5: Solve for x
    x = 55,407,284.19/10,811.71
  6. Step 6: Final answer
    x = 5,124.75

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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.