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Finding the Fourth Proportional to 8,221.42, 11,345.61 and 4,495.42

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Solution

The fourth proportional to 8,221.42, 11,345.61 and 4,495.42 is: 6,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.42 : 11,345.61 = 4,495.42 : x
  2. Step 2: Convert to fraction form
    8,221.42/11,345.61 = 4,495.42/x
  3. Step 3: Cross multiply
    8,221.42x = 11,345.61 × 4,495.42
  4. Step 4: Simplify right side
    8,221.42x = 51,003,282.11
  5. Step 5: Solve for x
    x = 51,003,282.11/8,221.42
  6. Step 6: Final answer
    x = 6,203.71

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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.