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Finding the Fourth Proportional to 10,097.31, 15,146.48 and 3,857.87

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Solution

The fourth proportional to 10,097.31, 15,146.48 and 3,857.87 is: 5,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.31 : 15,146.48 = 3,857.87 : x
  2. Step 2: Convert to fraction form
    10,097.31/15,146.48 = 3,857.87/x
  3. Step 3: Cross multiply
    10,097.31x = 15,146.48 × 3,857.87
  4. Step 4: Simplify right side
    10,097.31x = 58,433,055.78
  5. Step 5: Solve for x
    x = 58,433,055.78/10,097.31
  6. Step 6: Final answer
    x = 5,786.99

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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.