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Finding the Fourth Proportional to 11,596.33, 17,397.74 and 3,810.61

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Solution

The fourth proportional to 11,596.33, 17,397.74 and 3,810.61 is: 5,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.33 : 17,397.74 = 3,810.61 : x
  2. Step 2: Convert to fraction form
    11,596.33/17,397.74 = 3,810.61/x
  3. Step 3: Cross multiply
    11,596.33x = 17,397.74 × 3,810.61
  4. Step 4: Simplify right side
    11,596.33x = 66,296,002.02
  5. Step 5: Solve for x
    x = 66,296,002.02/11,596.33
  6. Step 6: Final answer
    x = 5,716.98

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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.