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Finding the Fourth Proportional to 8,201.60, 11,317.19 and 4,616.11

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Solution

The fourth proportional to 8,201.60, 11,317.19 and 4,616.11 is: 6,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.60 : 11,317.19 = 4,616.11 : x
  2. Step 2: Convert to fraction form
    8,201.60/11,317.19 = 4,616.11/x
  3. Step 3: Cross multiply
    8,201.60x = 11,317.19 × 4,616.11
  4. Step 4: Simplify right side
    8,201.60x = 52,241,385.00
  5. Step 5: Solve for x
    x = 52,241,385.00/8,201.60
  6. Step 6: Final answer
    x = 6,369.66

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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.