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Finding the Fourth Proportional to 11,894.43, 17,828.76 and 7,737.41

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Solution

The fourth proportional to 11,894.43, 17,828.76 and 7,737.41 is: 11,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.43 : 17,828.76 = 7,737.41 : x
  2. Step 2: Convert to fraction form
    11,894.43/17,828.76 = 7,737.41/x
  3. Step 3: Cross multiply
    11,894.43x = 17,828.76 × 7,737.41
  4. Step 4: Simplify right side
    11,894.43x = 137,948,425.91
  5. Step 5: Solve for x
    x = 137,948,425.91/11,894.43
  6. Step 6: Final answer
    x = 11,597.73

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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.