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Finding the Fourth Proportional to 8,222.38, 11,347.06 and 4,496.38

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Solution

The fourth proportional to 8,222.38, 11,347.06 and 4,496.38 is: 6,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.38 : 11,347.06 = 4,496.38 : x
  2. Step 2: Convert to fraction form
    8,222.38/11,347.06 = 4,496.38/x
  3. Step 3: Cross multiply
    8,222.38x = 11,347.06 × 4,496.38
  4. Step 4: Simplify right side
    8,222.38x = 51,020,693.64
  5. Step 5: Solve for x
    x = 51,020,693.64/8,222.38
  6. Step 6: Final answer
    x = 6,205.10

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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.