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Finding the Fourth Proportional to 7,523.84, 11,287.17 and 3,364.01

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Solution

The fourth proportional to 7,523.84, 11,287.17 and 3,364.01 is: 5,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.84 : 11,287.17 = 3,364.01 : x
  2. Step 2: Convert to fraction form
    7,523.84/11,287.17 = 3,364.01/x
  3. Step 3: Cross multiply
    7,523.84x = 11,287.17 × 3,364.01
  4. Step 4: Simplify right side
    7,523.84x = 37,970,180.97
  5. Step 5: Solve for x
    x = 37,970,180.97/7,523.84
  6. Step 6: Final answer
    x = 5,046.65

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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.