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Finding the Fourth Proportional to 10,807.43, 14,905.62 and 8,286.30

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Solution

The fourth proportional to 10,807.43, 14,905.62 and 8,286.30 is: 11,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.43 : 14,905.62 = 8,286.30 : x
  2. Step 2: Convert to fraction form
    10,807.43/14,905.62 = 8,286.30/x
  3. Step 3: Cross multiply
    10,807.43x = 14,905.62 × 8,286.30
  4. Step 4: Simplify right side
    10,807.43x = 123,512,439.01
  5. Step 5: Solve for x
    x = 123,512,439.01/10,807.43
  6. Step 6: Final answer
    x = 11,428.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.