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Finding the Fourth Proportional to 11,663.76, 17,498.38 and 3,872.58

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Solution

The fourth proportional to 11,663.76, 17,498.38 and 3,872.58 is: 5,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.76 : 17,498.38 = 3,872.58 : x
  2. Step 2: Convert to fraction form
    11,663.76/17,498.38 = 3,872.58/x
  3. Step 3: Cross multiply
    11,663.76x = 17,498.38 × 3,872.58
  4. Step 4: Simplify right side
    11,663.76x = 67,763,876.42
  5. Step 5: Solve for x
    x = 67,763,876.42/11,663.76
  6. Step 6: Final answer
    x = 5,809.78

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