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Finding the Fourth Proportional to 8,203.20, 11,316.48 and 5,961.60

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Solution

The fourth proportional to 8,203.20, 11,316.48 and 5,961.60 is: 8,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.20 : 11,316.48 = 5,961.60 : x
  2. Step 2: Convert to fraction form
    8,203.20/11,316.48 = 5,961.60/x
  3. Step 3: Cross multiply
    8,203.20x = 11,316.48 × 5,961.60
  4. Step 4: Simplify right side
    8,203.20x = 67,464,327.17
  5. Step 5: Solve for x
    x = 67,464,327.17/8,203.20
  6. Step 6: Final answer
    x = 8,224.15

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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.