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Finding the Fourth Proportional to 8,202.56, 11,319.57 and 4,665.83

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Solution

The fourth proportional to 8,202.56, 11,319.57 and 4,665.83 is: 6,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.56 : 11,319.57 = 4,665.83 : x
  2. Step 2: Convert to fraction form
    8,202.56/11,319.57 = 4,665.83/x
  3. Step 3: Cross multiply
    8,202.56x = 11,319.57 × 4,665.83
  4. Step 4: Simplify right side
    8,202.56x = 52,815,132.70
  5. Step 5: Solve for x
    x = 52,815,132.70/8,202.56
  6. Step 6: Final answer
    x = 6,438.86

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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.