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Finding the Fourth Proportional to 10,217.96, 14,099.10 and 6,027.02

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Solution

The fourth proportional to 10,217.96, 14,099.10 and 6,027.02 is: 8,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.96 : 14,099.10 = 6,027.02 : x
  2. Step 2: Convert to fraction form
    10,217.96/14,099.10 = 6,027.02/x
  3. Step 3: Cross multiply
    10,217.96x = 14,099.10 × 6,027.02
  4. Step 4: Simplify right side
    10,217.96x = 84,975,557.68
  5. Step 5: Solve for x
    x = 84,975,557.68/10,217.96
  6. Step 6: Final answer
    x = 8,316.29

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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.