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Finding the Fourth Proportional to 11,578.07, 17,375.31 and 8,293.93

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Solution

The fourth proportional to 11,578.07, 17,375.31 and 8,293.93 is: 12,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.07 : 17,375.31 = 8,293.93 : x
  2. Step 2: Convert to fraction form
    11,578.07/17,375.31 = 8,293.93/x
  3. Step 3: Cross multiply
    11,578.07x = 17,375.31 × 8,293.93
  4. Step 4: Simplify right side
    11,578.07x = 144,109,561.43
  5. Step 5: Solve for x
    x = 144,109,561.43/11,578.07
  6. Step 6: Final answer
    x = 12,446.77

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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.