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Finding the Fourth Proportional to 8,221.96, 11,347.04 and 4,686.31

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Solution

The fourth proportional to 8,221.96, 11,347.04 and 4,686.31 is: 6,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.96 : 11,347.04 = 4,686.31 : x
  2. Step 2: Convert to fraction form
    8,221.96/11,347.04 = 4,686.31/x
  3. Step 3: Cross multiply
    8,221.96x = 11,347.04 × 4,686.31
  4. Step 4: Simplify right side
    8,221.96x = 53,175,730.37
  5. Step 5: Solve for x
    x = 53,175,730.37/8,221.96
  6. Step 6: Final answer
    x = 6,467.53

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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.