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Finding the Fourth Proportional to 10,942.16, 15,102.60 and 6,694.16

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Solution

The fourth proportional to 10,942.16, 15,102.60 and 6,694.16 is: 9,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.16 : 15,102.60 = 6,694.16 : x
  2. Step 2: Convert to fraction form
    10,942.16/15,102.60 = 6,694.16/x
  3. Step 3: Cross multiply
    10,942.16x = 15,102.60 × 6,694.16
  4. Step 4: Simplify right side
    10,942.16x = 101,099,220.82
  5. Step 5: Solve for x
    x = 101,099,220.82/10,942.16
  6. Step 6: Final answer
    x = 9,239.42

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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.