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Finding the Fourth Proportional to 10,742.73, 14,824.91 and 6,027

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Solution

The fourth proportional to 10,742.73, 14,824.91 and 6,027 is: 8,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.73 : 14,824.91 = 6,027 : x
  2. Step 2: Convert to fraction form
    10,742.73/14,824.91 = 6,027/x
  3. Step 3: Cross multiply
    10,742.73x = 14,824.91 × 6,027
  4. Step 4: Simplify right side
    10,742.73x = 89,349,702.44
  5. Step 5: Solve for x
    x = 89,349,702.44/10,742.73
  6. Step 6: Final answer
    x = 8,317.22

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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.