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Finding the Fourth Proportional to 8,462.72, 11,677.92 and 4,736

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Solution

The fourth proportional to 8,462.72, 11,677.92 and 4,736 is: 6,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.72 : 11,677.92 = 4,736 : x
  2. Step 2: Convert to fraction form
    8,462.72/11,677.92 = 4,736/x
  3. Step 3: Cross multiply
    8,462.72x = 11,677.92 × 4,736
  4. Step 4: Simplify right side
    8,462.72x = 55,306,629.12
  5. Step 5: Solve for x
    x = 55,306,629.12/8,462.72
  6. Step 6: Final answer
    x = 6,535.33

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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.