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Finding the Fourth Proportional to 11,396.40, 15,721.20 and 6,679.86

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Solution

The fourth proportional to 11,396.40, 15,721.20 and 6,679.86 is: 9,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.40 : 15,721.20 = 6,679.86 : x
  2. Step 2: Convert to fraction form
    11,396.40/15,721.20 = 6,679.86/x
  3. Step 3: Cross multiply
    11,396.40x = 15,721.20 × 6,679.86
  4. Step 4: Simplify right side
    11,396.40x = 105,015,415.03
  5. Step 5: Solve for x
    x = 105,015,415.03/11,396.40
  6. Step 6: Final answer
    x = 9,214.79

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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.