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Finding the Fourth Proportional to 10,815.68, 16,221.12 and 3,419.20

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Solution

The fourth proportional to 10,815.68, 16,221.12 and 3,419.20 is: 5,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.68 : 16,221.12 = 3,419.20 : x
  2. Step 2: Convert to fraction form
    10,815.68/16,221.12 = 3,419.20/x
  3. Step 3: Cross multiply
    10,815.68x = 16,221.12 × 3,419.20
  4. Step 4: Simplify right side
    10,815.68x = 55,463,253.50
  5. Step 5: Solve for x
    x = 55,463,253.50/10,815.68
  6. Step 6: Final answer
    x = 5,128.04

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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.