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Finding the Fourth Proportional to 10,217.22, 14,099.34 and 5,741.22

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Solution

The fourth proportional to 10,217.22, 14,099.34 and 5,741.22 is: 7,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.22 : 14,099.34 = 5,741.22 : x
  2. Step 2: Convert to fraction form
    10,217.22/14,099.34 = 5,741.22/x
  3. Step 3: Cross multiply
    10,217.22x = 14,099.34 × 5,741.22
  4. Step 4: Simplify right side
    10,217.22x = 80,947,412.79
  5. Step 5: Solve for x
    x = 80,947,412.79/10,217.22
  6. Step 6: Final answer
    x = 7,922.65

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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.