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Finding the Fourth Proportional to 8,221.72, 11,345.82 and 5,422.36

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Solution

The fourth proportional to 8,221.72, 11,345.82 and 5,422.36 is: 7,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.72 : 11,345.82 = 5,422.36 : x
  2. Step 2: Convert to fraction form
    8,221.72/11,345.82 = 5,422.36/x
  3. Step 3: Cross multiply
    8,221.72x = 11,345.82 × 5,422.36
  4. Step 4: Simplify right side
    8,221.72x = 61,521,120.54
  5. Step 5: Solve for x
    x = 61,521,120.54/8,221.72
  6. Step 6: Final answer
    x = 7,482.76

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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.