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Finding the Fourth Proportional to 11,686.24, 17,524.17 and 3,364.31

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Solution

The fourth proportional to 11,686.24, 17,524.17 and 3,364.31 is: 5,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.24 : 17,524.17 = 3,364.31 : x
  2. Step 2: Convert to fraction form
    11,686.24/17,524.17 = 3,364.31/x
  3. Step 3: Cross multiply
    11,686.24x = 17,524.17 × 3,364.31
  4. Step 4: Simplify right side
    11,686.24x = 58,956,818.29
  5. Step 5: Solve for x
    x = 58,956,818.29/11,686.24
  6. Step 6: Final answer
    x = 5,044.98

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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.