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Finding the Fourth Proportional to 11,644.29, 17,451.84 and 5,802.57

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Solution

The fourth proportional to 11,644.29, 17,451.84 and 5,802.57 is: 8,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.29 : 17,451.84 = 5,802.57 : x
  2. Step 2: Convert to fraction form
    11,644.29/17,451.84 = 5,802.57/x
  3. Step 3: Cross multiply
    11,644.29x = 17,451.84 × 5,802.57
  4. Step 4: Simplify right side
    11,644.29x = 101,265,523.23
  5. Step 5: Solve for x
    x = 101,265,523.23/11,644.29
  6. Step 6: Final answer
    x = 8,696.58

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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.