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Finding the Fourth Proportional to 8,310.53, 11,464.92 and 5,474.27

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Solution

The fourth proportional to 8,310.53, 11,464.92 and 5,474.27 is: 7,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.53 : 11,464.92 = 5,474.27 : x
  2. Step 2: Convert to fraction form
    8,310.53/11,464.92 = 5,474.27/x
  3. Step 3: Cross multiply
    8,310.53x = 11,464.92 × 5,474.27
  4. Step 4: Simplify right side
    8,310.53x = 62,762,016.38
  5. Step 5: Solve for x
    x = 62,762,016.38/8,310.53
  6. Step 6: Final answer
    x = 7,552.11

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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.