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Finding the Fourth Proportional to 8,202.69, 11,319.75 and 4,666.14

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Solution

The fourth proportional to 8,202.69, 11,319.75 and 4,666.14 is: 6,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.69 : 11,319.75 = 4,666.14 : x
  2. Step 2: Convert to fraction form
    8,202.69/11,319.75 = 4,666.14/x
  3. Step 3: Cross multiply
    8,202.69x = 11,319.75 × 4,666.14
  4. Step 4: Simplify right side
    8,202.69x = 52,819,538.27
  5. Step 5: Solve for x
    x = 52,819,538.27/8,202.69
  6. Step 6: Final answer
    x = 6,439.29

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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.