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Finding the Fourth Proportional to 8,053.19, 12,082.31 and 3,614.64

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Solution

The fourth proportional to 8,053.19, 12,082.31 and 3,614.64 is: 5,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.19 : 12,082.31 = 3,614.64 : x
  2. Step 2: Convert to fraction form
    8,053.19/12,082.31 = 3,614.64/x
  3. Step 3: Cross multiply
    8,053.19x = 12,082.31 × 3,614.64
  4. Step 4: Simplify right side
    8,053.19x = 43,673,201.02
  5. Step 5: Solve for x
    x = 43,673,201.02/8,053.19
  6. Step 6: Final answer
    x = 5,423.09

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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.