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Finding the Fourth Proportional to 11,686.50, 16,127.74 and 6,381.72

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Solution

The fourth proportional to 11,686.50, 16,127.74 and 6,381.72 is: 8,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.50 : 16,127.74 = 6,381.72 : x
  2. Step 2: Convert to fraction form
    11,686.50/16,127.74 = 6,381.72/x
  3. Step 3: Cross multiply
    11,686.50x = 16,127.74 × 6,381.72
  4. Step 4: Simplify right side
    11,686.50x = 102,922,640.27
  5. Step 5: Solve for x
    x = 102,922,640.27/11,686.50
  6. Step 6: Final answer
    x = 8,806.97

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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.