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Finding the Fourth Proportional to 8,222.02, 11,346.15 and 4,496.02

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Solution

The fourth proportional to 8,222.02, 11,346.15 and 4,496.02 is: 6,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.02 : 11,346.15 = 4,496.02 : x
  2. Step 2: Convert to fraction form
    8,222.02/11,346.15 = 4,496.02/x
  3. Step 3: Cross multiply
    8,222.02x = 11,346.15 × 4,496.02
  4. Step 4: Simplify right side
    8,222.02x = 51,012,517.32
  5. Step 5: Solve for x
    x = 51,012,517.32/8,222.02
  6. Step 6: Final answer
    x = 6,204.38

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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.