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Finding the Fourth Proportional to 11,704.45, 16,152.19 and 6,399.26

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Solution

The fourth proportional to 11,704.45, 16,152.19 and 6,399.26 is: 8,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.45 : 16,152.19 = 6,399.26 : x
  2. Step 2: Convert to fraction form
    11,704.45/16,152.19 = 6,399.26/x
  3. Step 3: Cross multiply
    11,704.45x = 16,152.19 × 6,399.26
  4. Step 4: Simplify right side
    11,704.45x = 103,362,063.38
  5. Step 5: Solve for x
    x = 103,362,063.38/11,704.45
  6. Step 6: Final answer
    x = 8,831.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.