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Finding the Fourth Proportional to 8,296.62, 11,458.56 and 5,639.42

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Solution

The fourth proportional to 8,296.62, 11,458.56 and 5,639.42 is: 7,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.62 : 11,458.56 = 5,639.42 : x
  2. Step 2: Convert to fraction form
    8,296.62/11,458.56 = 5,639.42/x
  3. Step 3: Cross multiply
    8,296.62x = 11,458.56 × 5,639.42
  4. Step 4: Simplify right side
    8,296.62x = 64,619,632.44
  5. Step 5: Solve for x
    x = 64,619,632.44/8,296.62
  6. Step 6: Final answer
    x = 7,788.67

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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.