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Finding the Fourth Proportional to 11,596.84, 17,393.46 and 3,805.60

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Solution

The fourth proportional to 11,596.84, 17,393.46 and 3,805.60 is: 5,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.84 : 17,393.46 = 3,805.60 : x
  2. Step 2: Convert to fraction form
    11,596.84/17,393.46 = 3,805.60/x
  3. Step 3: Cross multiply
    11,596.84x = 17,393.46 × 3,805.60
  4. Step 4: Simplify right side
    11,596.84x = 66,192,551.38
  5. Step 5: Solve for x
    x = 66,192,551.38/11,596.84
  6. Step 6: Final answer
    x = 5,707.81

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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.