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Finding the Fourth Proportional to 8,200.96, 11,317.10 and 4,616.30

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Solution

The fourth proportional to 8,200.96, 11,317.10 and 4,616.30 is: 6,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.96 : 11,317.10 = 4,616.30 : x
  2. Step 2: Convert to fraction form
    8,200.96/11,317.10 = 4,616.30/x
  3. Step 3: Cross multiply
    8,200.96x = 11,317.10 × 4,616.30
  4. Step 4: Simplify right side
    8,200.96x = 52,243,133.94
  5. Step 5: Solve for x
    x = 52,243,133.94/8,200.96
  6. Step 6: Final answer
    x = 6,370.37

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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.