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Finding the Fourth Proportional to 8,295.24, 11,438.64 and 5,311.20

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Solution

The fourth proportional to 8,295.24, 11,438.64 and 5,311.20 is: 7,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.24 : 11,438.64 = 5,311.20 : x
  2. Step 2: Convert to fraction form
    8,295.24/11,438.64 = 5,311.20/x
  3. Step 3: Cross multiply
    8,295.24x = 11,438.64 × 5,311.20
  4. Step 4: Simplify right side
    8,295.24x = 60,752,904.77
  5. Step 5: Solve for x
    x = 60,752,904.77/8,295.24
  6. Step 6: Final answer
    x = 7,323.83

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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.