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Finding the Fourth Proportional to 11,963.16, 17,928.28 and 6,107.48

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Solution

The fourth proportional to 11,963.16, 17,928.28 and 6,107.48 is: 9,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.16 : 17,928.28 = 6,107.48 : x
  2. Step 2: Convert to fraction form
    11,963.16/17,928.28 = 6,107.48/x
  3. Step 3: Cross multiply
    11,963.16x = 17,928.28 × 6,107.48
  4. Step 4: Simplify right side
    11,963.16x = 109,496,611.53
  5. Step 5: Solve for x
    x = 109,496,611.53/11,963.16
  6. Step 6: Final answer
    x = 9,152.82

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Why These Related Problems?

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