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Finding the Fourth Proportional to 8,129.83, 11,221.82 and 4,772.56

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Solution

The fourth proportional to 8,129.83, 11,221.82 and 4,772.56 is: 6,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.83 : 11,221.82 = 4,772.56 : x
  2. Step 2: Convert to fraction form
    8,129.83/11,221.82 = 4,772.56/x
  3. Step 3: Cross multiply
    8,129.83x = 11,221.82 × 4,772.56
  4. Step 4: Simplify right side
    8,129.83x = 53,556,767.08
  5. Step 5: Solve for x
    x = 53,556,767.08/8,129.83
  6. Step 6: Final answer
    x = 6,587.69

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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.