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Finding the Fourth Proportional to 10,103.81, 15,148.83 and 5,169.43

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Solution

The fourth proportional to 10,103.81, 15,148.83 and 5,169.43 is: 7,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.81 : 15,148.83 = 5,169.43 : x
  2. Step 2: Convert to fraction form
    10,103.81/15,148.83 = 5,169.43/x
  3. Step 3: Cross multiply
    10,103.81x = 15,148.83 × 5,169.43
  4. Step 4: Simplify right side
    10,103.81x = 78,310,740.52
  5. Step 5: Solve for x
    x = 78,310,740.52/10,103.81
  6. Step 6: Final answer
    x = 7,750.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.