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Finding the Fourth Proportional to 11,439, 15,787.98 and 6,725.88

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Solution

The fourth proportional to 11,439, 15,787.98 and 6,725.88 is: 9,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439 : 15,787.98 = 6,725.88 : x
  2. Step 2: Convert to fraction form
    11,439/15,787.98 = 6,725.88/x
  3. Step 3: Cross multiply
    11,439x = 15,787.98 × 6,725.88
  4. Step 4: Simplify right side
    11,439x = 106,188,058.92
  5. Step 5: Solve for x
    x = 106,188,058.92/11,439
  6. Step 6: Final answer
    x = 9,282.98

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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.