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Finding the Fourth Proportional to 8,200.22, 11,316.91 and 5,014.12

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Solution

The fourth proportional to 8,200.22, 11,316.91 and 5,014.12 is: 6,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.22 : 11,316.91 = 5,014.12 : x
  2. Step 2: Convert to fraction form
    8,200.22/11,316.91 = 5,014.12/x
  3. Step 3: Cross multiply
    8,200.22x = 11,316.91 × 5,014.12
  4. Step 4: Simplify right side
    8,200.22x = 56,744,329.01
  5. Step 5: Solve for x
    x = 56,744,329.01/8,200.22
  6. Step 6: Final answer
    x = 6,919.86

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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.