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Finding the Fourth Proportional to 8,288.66, 11,435.55 and 5,631.44

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Solution

The fourth proportional to 8,288.66, 11,435.55 and 5,631.44 is: 7,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.66 : 11,435.55 = 5,631.44 : x
  2. Step 2: Convert to fraction form
    8,288.66/11,435.55 = 5,631.44/x
  3. Step 3: Cross multiply
    8,288.66x = 11,435.55 × 5,631.44
  4. Step 4: Simplify right side
    8,288.66x = 64,398,613.69
  5. Step 5: Solve for x
    x = 64,398,613.69/8,288.66
  6. Step 6: Final answer
    x = 7,769.48

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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.