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Finding the Fourth Proportional to 8,042.82, 11,099.71 and 4,640.44

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Solution

The fourth proportional to 8,042.82, 11,099.71 and 4,640.44 is: 6,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.82 : 11,099.71 = 4,640.44 : x
  2. Step 2: Convert to fraction form
    8,042.82/11,099.71 = 4,640.44/x
  3. Step 3: Cross multiply
    8,042.82x = 11,099.71 × 4,640.44
  4. Step 4: Simplify right side
    8,042.82x = 51,507,487.32
  5. Step 5: Solve for x
    x = 51,507,487.32/8,042.82
  6. Step 6: Final answer
    x = 6,404.16

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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.