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Finding the Fourth Proportional to 10,103.94, 13,942.94 and 5,628.15

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Solution

The fourth proportional to 10,103.94, 13,942.94 and 5,628.15 is: 7,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.94 : 13,942.94 = 5,628.15 : x
  2. Step 2: Convert to fraction form
    10,103.94/13,942.94 = 5,628.15/x
  3. Step 3: Cross multiply
    10,103.94x = 13,942.94 × 5,628.15
  4. Step 4: Simplify right side
    10,103.94x = 78,472,929.62
  5. Step 5: Solve for x
    x = 78,472,929.62/10,103.94
  6. Step 6: Final answer
    x = 7,766.57

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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.