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Finding the Fourth Proportional to 8,222.96, 11,347.73 and 4,686.42

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Solution

The fourth proportional to 8,222.96, 11,347.73 and 4,686.42 is: 6,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.96 : 11,347.73 = 4,686.42 : x
  2. Step 2: Convert to fraction form
    8,222.96/11,347.73 = 4,686.42/x
  3. Step 3: Cross multiply
    8,222.96x = 11,347.73 × 4,686.42
  4. Step 4: Simplify right side
    8,222.96x = 53,180,205.39
  5. Step 5: Solve for x
    x = 53,180,205.39/8,222.96
  6. Step 6: Final answer
    x = 6,467.29

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