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Finding the Fourth Proportional to 10,097.70, 15,149.21 and 3,523.88

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Solution

The fourth proportional to 10,097.70, 15,149.21 and 3,523.88 is: 5,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.70 : 15,149.21 = 3,523.88 : x
  2. Step 2: Convert to fraction form
    10,097.70/15,149.21 = 3,523.88/x
  3. Step 3: Cross multiply
    10,097.70x = 15,149.21 × 3,523.88
  4. Step 4: Simplify right side
    10,097.70x = 53,383,904.77
  5. Step 5: Solve for x
    x = 53,383,904.77/10,097.70
  6. Step 6: Final answer
    x = 5,286.74

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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.