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Finding the Fourth Proportional to 8,222.08, 11,350.22 and 5,242

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Solution

The fourth proportional to 8,222.08, 11,350.22 and 5,242 is: 7,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.08 : 11,350.22 = 5,242 : x
  2. Step 2: Convert to fraction form
    8,222.08/11,350.22 = 5,242/x
  3. Step 3: Cross multiply
    8,222.08x = 11,350.22 × 5,242
  4. Step 4: Simplify right side
    8,222.08x = 59,497,853.24
  5. Step 5: Solve for x
    x = 59,497,853.24/8,222.08
  6. Step 6: Final answer
    x = 7,236.35

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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.