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Finding the Fourth Proportional to 10,097.94, 15,145.83 and 3,524.25

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Solution

The fourth proportional to 10,097.94, 15,145.83 and 3,524.25 is: 5,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.94 : 15,145.83 = 3,524.25 : x
  2. Step 2: Convert to fraction form
    10,097.94/15,145.83 = 3,524.25/x
  3. Step 3: Cross multiply
    10,097.94x = 15,145.83 × 3,524.25
  4. Step 4: Simplify right side
    10,097.94x = 53,377,691.38
  5. Step 5: Solve for x
    x = 53,377,691.38/10,097.94
  6. Step 6: Final answer
    x = 5,286.00

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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.