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Finding the Fourth Proportional to 11,704.46, 16,153.71 and 7,524.86

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Solution

The fourth proportional to 11,704.46, 16,153.71 and 7,524.86 is: 10,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.46 : 16,153.71 = 7,524.86 : x
  2. Step 2: Convert to fraction form
    11,704.46/16,153.71 = 7,524.86/x
  3. Step 3: Cross multiply
    11,704.46x = 16,153.71 × 7,524.86
  4. Step 4: Simplify right side
    11,704.46x = 121,554,406.23
  5. Step 5: Solve for x
    x = 121,554,406.23/11,704.46
  6. Step 6: Final answer
    x = 10,385.31

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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.