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Finding the Fourth Proportional to 8,167.24, 11,270.92 and 4,631.16

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Solution

The fourth proportional to 8,167.24, 11,270.92 and 4,631.16 is: 6,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.24 : 11,270.92 = 4,631.16 : x
  2. Step 2: Convert to fraction form
    8,167.24/11,270.92 = 4,631.16/x
  3. Step 3: Cross multiply
    8,167.24x = 11,270.92 × 4,631.16
  4. Step 4: Simplify right side
    8,167.24x = 52,197,433.87
  5. Step 5: Solve for x
    x = 52,197,433.87/8,167.24
  6. Step 6: Final answer
    x = 6,391.07

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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.