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Finding the Fourth Proportional to 11,391.84, 15,717.24 and 6,672.78

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Solution

The fourth proportional to 11,391.84, 15,717.24 and 6,672.78 is: 9,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.84 : 15,717.24 = 6,672.78 : x
  2. Step 2: Convert to fraction form
    11,391.84/15,717.24 = 6,672.78/x
  3. Step 3: Cross multiply
    11,391.84x = 15,717.24 × 6,672.78
  4. Step 4: Simplify right side
    11,391.84x = 104,877,684.73
  5. Step 5: Solve for x
    x = 104,877,684.73/11,391.84
  6. Step 6: Final answer
    x = 9,206.39

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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.