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Finding the Fourth Proportional to 11,704.63, 16,160.85 and 7,234.51

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Solution

The fourth proportional to 11,704.63, 16,160.85 and 7,234.51 is: 9,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.63 : 16,160.85 = 7,234.51 : x
  2. Step 2: Convert to fraction form
    11,704.63/16,160.85 = 7,234.51/x
  3. Step 3: Cross multiply
    11,704.63x = 16,160.85 × 7,234.51
  4. Step 4: Simplify right side
    11,704.63x = 116,915,772.45
  5. Step 5: Solve for x
    x = 116,915,772.45/11,704.63
  6. Step 6: Final answer
    x = 9,988.85

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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.