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Finding the Fourth Proportional to 7,099.52, 9,796.59 and 4,116.33

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Solution

The fourth proportional to 7,099.52, 9,796.59 and 4,116.33 is: 5,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.52 : 9,796.59 = 4,116.33 : x
  2. Step 2: Convert to fraction form
    7,099.52/9,796.59 = 4,116.33/x
  3. Step 3: Cross multiply
    7,099.52x = 9,796.59 × 4,116.33
  4. Step 4: Simplify right side
    7,099.52x = 40,325,997.31
  5. Step 5: Solve for x
    x = 40,325,997.31/7,099.52
  6. Step 6: Final answer
    x = 5,680.11

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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.