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Finding the Fourth Proportional to 8,288.82, 11,438.57 and 4,562.82

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Solution

The fourth proportional to 8,288.82, 11,438.57 and 4,562.82 is: 6,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.82 : 11,438.57 = 4,562.82 : x
  2. Step 2: Convert to fraction form
    8,288.82/11,438.57 = 4,562.82/x
  3. Step 3: Cross multiply
    8,288.82x = 11,438.57 × 4,562.82
  4. Step 4: Simplify right side
    8,288.82x = 52,192,113.15
  5. Step 5: Solve for x
    x = 52,192,113.15/8,288.82
  6. Step 6: Final answer
    x = 6,296.69

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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.