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Finding the Fourth Proportional to 8,202.76, 11,319.42 and 4,665.58

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Solution

The fourth proportional to 8,202.76, 11,319.42 and 4,665.58 is: 6,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.76 : 11,319.42 = 4,665.58 : x
  2. Step 2: Convert to fraction form
    8,202.76/11,319.42 = 4,665.58/x
  3. Step 3: Cross multiply
    8,202.76x = 11,319.42 × 4,665.58
  4. Step 4: Simplify right side
    8,202.76x = 52,811,659.56
  5. Step 5: Solve for x
    x = 52,811,659.56/8,202.76
  6. Step 6: Final answer
    x = 6,438.28

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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.