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Finding the Fourth Proportional to 11,700.92, 16,147.67 and 6,395.63

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Solution

The fourth proportional to 11,700.92, 16,147.67 and 6,395.63 is: 8,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.92 : 16,147.67 = 6,395.63 : x
  2. Step 2: Convert to fraction form
    11,700.92/16,147.67 = 6,395.63/x
  3. Step 3: Cross multiply
    11,700.92x = 16,147.67 × 6,395.63
  4. Step 4: Simplify right side
    11,700.92x = 103,274,409.97
  5. Step 5: Solve for x
    x = 103,274,409.97/11,700.92
  6. Step 6: Final answer
    x = 8,826.18

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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.