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Finding the Fourth Proportional to 10,241.14, 14,096.07 and 7,251.78

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Solution

The fourth proportional to 10,241.14, 14,096.07 and 7,251.78 is: 9,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.14 : 14,096.07 = 7,251.78 : x
  2. Step 2: Convert to fraction form
    10,241.14/14,096.07 = 7,251.78/x
  3. Step 3: Cross multiply
    10,241.14x = 14,096.07 × 7,251.78
  4. Step 4: Simplify right side
    10,241.14x = 102,221,656.18
  5. Step 5: Solve for x
    x = 102,221,656.18/10,241.14
  6. Step 6: Final answer
    x = 9,981.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.