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Finding the Fourth Proportional to 8,201.47, 11,318.66 and 4,664.47

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Solution

The fourth proportional to 8,201.47, 11,318.66 and 4,664.47 is: 6,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.47 : 11,318.66 = 4,664.47 : x
  2. Step 2: Convert to fraction form
    8,201.47/11,318.66 = 4,664.47/x
  3. Step 3: Cross multiply
    8,201.47x = 11,318.66 × 4,664.47
  4. Step 4: Simplify right side
    8,201.47x = 52,795,550.01
  5. Step 5: Solve for x
    x = 52,795,550.01/8,201.47
  6. Step 6: Final answer
    x = 6,437.33

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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.