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Finding the Fourth Proportional to 10,398.44, 14,350.11 and 5,682.80

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Solution

The fourth proportional to 10,398.44, 14,350.11 and 5,682.80 is: 7,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.44 : 14,350.11 = 5,682.80 : x
  2. Step 2: Convert to fraction form
    10,398.44/14,350.11 = 5,682.80/x
  3. Step 3: Cross multiply
    10,398.44x = 14,350.11 × 5,682.80
  4. Step 4: Simplify right side
    10,398.44x = 81,548,805.11
  5. Step 5: Solve for x
    x = 81,548,805.11/10,398.44
  6. Step 6: Final answer
    x = 7,842.41

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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.