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Finding the Fourth Proportional to 10,294.28, 14,204.97 and 5,818.03

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Solution

The fourth proportional to 10,294.28, 14,204.97 and 5,818.03 is: 8,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.28 : 14,204.97 = 5,818.03 : x
  2. Step 2: Convert to fraction form
    10,294.28/14,204.97 = 5,818.03/x
  3. Step 3: Cross multiply
    10,294.28x = 14,204.97 × 5,818.03
  4. Step 4: Simplify right side
    10,294.28x = 82,644,941.61
  5. Step 5: Solve for x
    x = 82,644,941.61/10,294.28
  6. Step 6: Final answer
    x = 8,028.24

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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.