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Finding the Fourth Proportional to 8,222.34, 11,346.66 and 4,496.34

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Solution

The fourth proportional to 8,222.34, 11,346.66 and 4,496.34 is: 6,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.34 : 11,346.66 = 4,496.34 : x
  2. Step 2: Convert to fraction form
    8,222.34/11,346.66 = 4,496.34/x
  3. Step 3: Cross multiply
    8,222.34x = 11,346.66 × 4,496.34
  4. Step 4: Simplify right side
    8,222.34x = 51,018,441.22
  5. Step 5: Solve for x
    x = 51,018,441.22/8,222.34
  6. Step 6: Final answer
    x = 6,204.86

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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.