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Finding the Fourth Proportional to 10,102.44, 13,940.42 and 7,451.30

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Solution

The fourth proportional to 10,102.44, 13,940.42 and 7,451.30 is: 10,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.44 : 13,940.42 = 7,451.30 : x
  2. Step 2: Convert to fraction form
    10,102.44/13,940.42 = 7,451.30/x
  3. Step 3: Cross multiply
    10,102.44x = 13,940.42 × 7,451.30
  4. Step 4: Simplify right side
    10,102.44x = 103,874,251.55
  5. Step 5: Solve for x
    x = 103,874,251.55/10,102.44
  6. Step 6: Final answer
    x = 10,282.10

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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.