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Finding the Fourth Proportional to 10,099.24, 13,938.62 and 5,906.68

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Solution

The fourth proportional to 10,099.24, 13,938.62 and 5,906.68 is: 8,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.24 : 13,938.62 = 5,906.68 : x
  2. Step 2: Convert to fraction form
    10,099.24/13,938.62 = 5,906.68/x
  3. Step 3: Cross multiply
    10,099.24x = 13,938.62 × 5,906.68
  4. Step 4: Simplify right side
    10,099.24x = 82,330,967.98
  5. Step 5: Solve for x
    x = 82,330,967.98/10,099.24
  6. Step 6: Final answer
    x = 8,152.19

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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.