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Finding the Fourth Proportional to 8,214.84, 12,323.96 and 2,668.30

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Solution

The fourth proportional to 8,214.84, 12,323.96 and 2,668.30 is: 4,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.84 : 12,323.96 = 2,668.30 : x
  2. Step 2: Convert to fraction form
    8,214.84/12,323.96 = 2,668.30/x
  3. Step 3: Cross multiply
    8,214.84x = 12,323.96 × 2,668.30
  4. Step 4: Simplify right side
    8,214.84x = 32,884,022.47
  5. Step 5: Solve for x
    x = 32,884,022.47/8,214.84
  6. Step 6: Final answer
    x = 4,003.00

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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.