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Finding the Fourth Proportional to 11,957.75, 17,937.07 and 6,107.52

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Solution

The fourth proportional to 11,957.75, 17,937.07 and 6,107.52 is: 9,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.75 : 17,937.07 = 6,107.52 : x
  2. Step 2: Convert to fraction form
    11,957.75/17,937.07 = 6,107.52/x
  3. Step 3: Cross multiply
    11,957.75x = 17,937.07 × 6,107.52
  4. Step 4: Simplify right side
    11,957.75x = 109,551,013.77
  5. Step 5: Solve for x
    x = 109,551,013.77/11,957.75
  6. Step 6: Final answer
    x = 9,161.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.