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Finding the Fourth Proportional to 8,472, 11,694.72 and 5,679.12

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Solution

The fourth proportional to 8,472, 11,694.72 and 5,679.12 is: 7,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472 : 11,694.72 = 5,679.12 : x
  2. Step 2: Convert to fraction form
    8,472/11,694.72 = 5,679.12/x
  3. Step 3: Cross multiply
    8,472x = 11,694.72 × 5,679.12
  4. Step 4: Simplify right side
    8,472x = 66,415,718.25
  5. Step 5: Solve for x
    x = 66,415,718.25/8,472
  6. Step 6: Final answer
    x = 7,839.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.