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Finding the Fourth Proportional to 8,214.62, 12,320.71 and 2,668.14

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Solution

The fourth proportional to 8,214.62, 12,320.71 and 2,668.14 is: 4,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.62 : 12,320.71 = 2,668.14 : x
  2. Step 2: Convert to fraction form
    8,214.62/12,320.71 = 2,668.14/x
  3. Step 3: Cross multiply
    8,214.62x = 12,320.71 × 2,668.14
  4. Step 4: Simplify right side
    8,214.62x = 32,873,372.51
  5. Step 5: Solve for x
    x = 32,873,372.51/8,214.62
  6. Step 6: Final answer
    x = 4,001.82

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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.