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Finding the Fourth Proportional to 8,188.25, 11,299.47 and 4,651.09

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Solution

The fourth proportional to 8,188.25, 11,299.47 and 4,651.09 is: 6,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.25 : 11,299.47 = 4,651.09 : x
  2. Step 2: Convert to fraction form
    8,188.25/11,299.47 = 4,651.09/x
  3. Step 3: Cross multiply
    8,188.25x = 11,299.47 × 4,651.09
  4. Step 4: Simplify right side
    8,188.25x = 52,554,795.42
  5. Step 5: Solve for x
    x = 52,554,795.42/8,188.25
  6. Step 6: Final answer
    x = 6,418.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.