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Finding the Fourth Proportional to 10,705.44, 14,773.50 and 6,227.52

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Solution

The fourth proportional to 10,705.44, 14,773.50 and 6,227.52 is: 8,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.44 : 14,773.50 = 6,227.52 : x
  2. Step 2: Convert to fraction form
    10,705.44/14,773.50 = 6,227.52/x
  3. Step 3: Cross multiply
    10,705.44x = 14,773.50 × 6,227.52
  4. Step 4: Simplify right side
    10,705.44x = 92,002,266.72
  5. Step 5: Solve for x
    x = 92,002,266.72/10,705.44
  6. Step 6: Final answer
    x = 8,593.97

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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.