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Finding the Fourth Proportional to 10,238.96, 15,356.73 and 2,844.17

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Solution

The fourth proportional to 10,238.96, 15,356.73 and 2,844.17 is: 4,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.96 : 15,356.73 = 2,844.17 : x
  2. Step 2: Convert to fraction form
    10,238.96/15,356.73 = 2,844.17/x
  3. Step 3: Cross multiply
    10,238.96x = 15,356.73 × 2,844.17
  4. Step 4: Simplify right side
    10,238.96x = 43,677,150.76
  5. Step 5: Solve for x
    x = 43,677,150.76/10,238.96
  6. Step 6: Final answer
    x = 4,265.78

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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.