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Finding the Fourth Proportional to 8,221.65, 12,327.53 and 3,218.06

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Solution

The fourth proportional to 8,221.65, 12,327.53 and 3,218.06 is: 4,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.65 : 12,327.53 = 3,218.06 : x
  2. Step 2: Convert to fraction form
    8,221.65/12,327.53 = 3,218.06/x
  3. Step 3: Cross multiply
    8,221.65x = 12,327.53 × 3,218.06
  4. Step 4: Simplify right side
    8,221.65x = 39,670,653.46
  5. Step 5: Solve for x
    x = 39,670,653.46/8,221.65
  6. Step 6: Final answer
    x = 4,825.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.