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Finding the Fourth Proportional to 11,937.84, 16,474.38 and 6,633.18

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Solution

The fourth proportional to 11,937.84, 16,474.38 and 6,633.18 is: 9,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.84 : 16,474.38 = 6,633.18 : x
  2. Step 2: Convert to fraction form
    11,937.84/16,474.38 = 6,633.18/x
  3. Step 3: Cross multiply
    11,937.84x = 16,474.38 × 6,633.18
  4. Step 4: Simplify right side
    11,937.84x = 109,277,527.93
  5. Step 5: Solve for x
    x = 109,277,527.93/11,937.84
  6. Step 6: Final answer
    x = 9,153.88

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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.