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Finding the Fourth Proportional to 8,201.93, 11,316.71 and 4,667.09

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Solution

The fourth proportional to 8,201.93, 11,316.71 and 4,667.09 is: 6,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.93 : 11,316.71 = 4,667.09 : x
  2. Step 2: Convert to fraction form
    8,201.93/11,316.71 = 4,667.09/x
  3. Step 3: Cross multiply
    8,201.93x = 11,316.71 × 4,667.09
  4. Step 4: Simplify right side
    8,201.93x = 52,816,059.16
  5. Step 5: Solve for x
    x = 52,816,059.16/8,201.93
  6. Step 6: Final answer
    x = 6,439.47

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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.