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Finding the Fourth Proportional to 8,164.57, 11,267.69 and 4,716.19

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Solution

The fourth proportional to 8,164.57, 11,267.69 and 4,716.19 is: 6,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.57 : 11,267.69 = 4,716.19 : x
  2. Step 2: Convert to fraction form
    8,164.57/11,267.69 = 4,716.19/x
  3. Step 3: Cross multiply
    8,164.57x = 11,267.69 × 4,716.19
  4. Step 4: Simplify right side
    8,164.57x = 53,140,566.90
  5. Step 5: Solve for x
    x = 53,140,566.90/8,164.57
  6. Step 6: Final answer
    x = 6,508.68

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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.