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Finding the Fourth Proportional to 8,202.17, 11,317.95 and 4,616.69

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Solution

The fourth proportional to 8,202.17, 11,317.95 and 4,616.69 is: 6,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.17 : 11,317.95 = 4,616.69 : x
  2. Step 2: Convert to fraction form
    8,202.17/11,317.95 = 4,616.69/x
  3. Step 3: Cross multiply
    8,202.17x = 11,317.95 × 4,616.69
  4. Step 4: Simplify right side
    8,202.17x = 52,251,410.00
  5. Step 5: Solve for x
    x = 52,251,410.00/8,202.17
  6. Step 6: Final answer
    x = 6,370.44

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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.