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Finding the Fourth Proportional to 11,704.67, 16,152.50 and 6,399.57

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Solution

The fourth proportional to 11,704.67, 16,152.50 and 6,399.57 is: 8,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.67 : 16,152.50 = 6,399.57 : x
  2. Step 2: Convert to fraction form
    11,704.67/16,152.50 = 6,399.57/x
  3. Step 3: Cross multiply
    11,704.67x = 16,152.50 × 6,399.57
  4. Step 4: Simplify right side
    11,704.67x = 103,369,054.43
  5. Step 5: Solve for x
    x = 103,369,054.43/11,704.67
  6. Step 6: Final answer
    x = 8,831.44

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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.