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Finding the Fourth Proportional to 8,199.29, 12,298.94 and 3,516.28

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Solution

The fourth proportional to 8,199.29, 12,298.94 and 3,516.28 is: 5,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.29 : 12,298.94 = 3,516.28 : x
  2. Step 2: Convert to fraction form
    8,199.29/12,298.94 = 3,516.28/x
  3. Step 3: Cross multiply
    8,199.29x = 12,298.94 × 3,516.28
  4. Step 4: Simplify right side
    8,199.29x = 43,246,455.25
  5. Step 5: Solve for x
    x = 43,246,455.25/8,199.29
  6. Step 6: Final answer
    x = 5,274.41

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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.