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Finding the Fourth Proportional to 8,141.64, 12,213.69 and 2,593.36

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Solution

The fourth proportional to 8,141.64, 12,213.69 and 2,593.36 is: 3,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.64 : 12,213.69 = 2,593.36 : x
  2. Step 2: Convert to fraction form
    8,141.64/12,213.69 = 2,593.36/x
  3. Step 3: Cross multiply
    8,141.64x = 12,213.69 × 2,593.36
  4. Step 4: Simplify right side
    8,141.64x = 31,674,495.10
  5. Step 5: Solve for x
    x = 31,674,495.10/8,141.64
  6. Step 6: Final answer
    x = 3,890.43

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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.