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Finding the Fourth Proportional to 8,119.62, 11,214.30 and 5,462.41

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Solution

The fourth proportional to 8,119.62, 11,214.30 and 5,462.41 is: 7,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.62 : 11,214.30 = 5,462.41 : x
  2. Step 2: Convert to fraction form
    8,119.62/11,214.30 = 5,462.41/x
  3. Step 3: Cross multiply
    8,119.62x = 11,214.30 × 5,462.41
  4. Step 4: Simplify right side
    8,119.62x = 61,257,118.75
  5. Step 5: Solve for x
    x = 61,257,118.75/8,119.62
  6. Step 6: Final answer
    x = 7,544.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.