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Finding the Fourth Proportional to 12,256.38, 16,913.31 and 6,951.08

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Solution

The fourth proportional to 12,256.38, 16,913.31 and 6,951.08 is: 9,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.38 : 16,913.31 = 6,951.08 : x
  2. Step 2: Convert to fraction form
    12,256.38/16,913.31 = 6,951.08/x
  3. Step 3: Cross multiply
    12,256.38x = 16,913.31 × 6,951.08
  4. Step 4: Simplify right side
    12,256.38x = 117,565,787.09
  5. Step 5: Solve for x
    x = 117,565,787.09/12,256.38
  6. Step 6: Final answer
    x = 9,592.21

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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.