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Finding the Fourth Proportional to 10,238.66, 15,356.29 and 2,843.87

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Solution

The fourth proportional to 10,238.66, 15,356.29 and 2,843.87 is: 4,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.66 : 15,356.29 = 2,843.87 : x
  2. Step 2: Convert to fraction form
    10,238.66/15,356.29 = 2,843.87/x
  3. Step 3: Cross multiply
    10,238.66x = 15,356.29 × 2,843.87
  4. Step 4: Simplify right side
    10,238.66x = 43,671,289.60
  5. Step 5: Solve for x
    x = 43,671,289.60/10,238.66
  6. Step 6: Final answer
    x = 4,265.33

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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.