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Finding the Fourth Proportional to 11,704.50, 16,152.21 and 6,399.35

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Solution

The fourth proportional to 11,704.50, 16,152.21 and 6,399.35 is: 8,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 16,152.21 = 6,399.35 : x
  2. Step 2: Convert to fraction form
    11,704.50/16,152.21 = 6,399.35/x
  3. Step 3: Cross multiply
    11,704.50x = 16,152.21 × 6,399.35
  4. Step 4: Simplify right side
    11,704.50x = 103,363,715.73
  5. Step 5: Solve for x
    x = 103,363,715.73/11,704.50
  6. Step 6: Final answer
    x = 8,831.11

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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.