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Finding the Fourth Proportional to 11,704.64, 16,152.45 and 6,399.45

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Solution

The fourth proportional to 11,704.64, 16,152.45 and 6,399.45 is: 8,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.64 : 16,152.45 = 6,399.45 : x
  2. Step 2: Convert to fraction form
    11,704.64/16,152.45 = 6,399.45/x
  3. Step 3: Cross multiply
    11,704.64x = 16,152.45 × 6,399.45
  4. Step 4: Simplify right side
    11,704.64x = 103,366,796.15
  5. Step 5: Solve for x
    x = 103,366,796.15/11,704.64
  6. Step 6: Final answer
    x = 8,831.27

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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.