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Finding the Fourth Proportional to 10,805.44, 14,910.24 and 6,089.44

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Solution

The fourth proportional to 10,805.44, 14,910.24 and 6,089.44 is: 8,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.44 : 14,910.24 = 6,089.44 : x
  2. Step 2: Convert to fraction form
    10,805.44/14,910.24 = 6,089.44/x
  3. Step 3: Cross multiply
    10,805.44x = 14,910.24 × 6,089.44
  4. Step 4: Simplify right side
    10,805.44x = 90,795,011.87
  5. Step 5: Solve for x
    x = 90,795,011.87/10,805.44
  6. Step 6: Final answer
    x = 8,402.71

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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.