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Finding the Fourth Proportional to 10,097.42, 15,152.44 and 3,857.96

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Solution

The fourth proportional to 10,097.42, 15,152.44 and 3,857.96 is: 5,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.42 : 15,152.44 = 3,857.96 : x
  2. Step 2: Convert to fraction form
    10,097.42/15,152.44 = 3,857.96/x
  3. Step 3: Cross multiply
    10,097.42x = 15,152.44 × 3,857.96
  4. Step 4: Simplify right side
    10,097.42x = 58,457,553.74
  5. Step 5: Solve for x
    x = 58,457,553.74/10,097.42
  6. Step 6: Final answer
    x = 5,789.36

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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.