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Finding the Fourth Proportional to 7,243.60, 9,997.68 and 4,099.92

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Solution

The fourth proportional to 7,243.60, 9,997.68 and 4,099.92 is: 5,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.60 : 9,997.68 = 4,099.92 : x
  2. Step 2: Convert to fraction form
    7,243.60/9,997.68 = 4,099.92/x
  3. Step 3: Cross multiply
    7,243.60x = 9,997.68 × 4,099.92
  4. Step 4: Simplify right side
    7,243.60x = 40,989,688.19
  5. Step 5: Solve for x
    x = 40,989,688.19/7,243.60
  6. Step 6: Final answer
    x = 5,658.75

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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.