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Finding the Fourth Proportional to 8,287.87, 11,424.28 and 5,630.67

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Solution

The fourth proportional to 8,287.87, 11,424.28 and 5,630.67 is: 7,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.87 : 11,424.28 = 5,630.67 : x
  2. Step 2: Convert to fraction form
    8,287.87/11,424.28 = 5,630.67/x
  3. Step 3: Cross multiply
    8,287.87x = 11,424.28 × 5,630.67
  4. Step 4: Simplify right side
    8,287.87x = 64,326,350.67
  5. Step 5: Solve for x
    x = 64,326,350.67/8,287.87
  6. Step 6: Final answer
    x = 7,761.51

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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.