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Finding the Fourth Proportional to 10,103.48, 13,942.42 and 5,627.42

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Solution

The fourth proportional to 10,103.48, 13,942.42 and 5,627.42 is: 7,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.48 : 13,942.42 = 5,627.42 : x
  2. Step 2: Convert to fraction form
    10,103.48/13,942.42 = 5,627.42/x
  3. Step 3: Cross multiply
    10,103.48x = 13,942.42 × 5,627.42
  4. Step 4: Simplify right side
    10,103.48x = 78,459,853.16
  5. Step 5: Solve for x
    x = 78,459,853.16/10,103.48
  6. Step 6: Final answer
    x = 7,765.63

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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.