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Finding the Fourth Proportional to 10,238.64, 15,358.32 and 2,843.04

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Solution

The fourth proportional to 10,238.64, 15,358.32 and 2,843.04 is: 4,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.64 : 15,358.32 = 2,843.04 : x
  2. Step 2: Convert to fraction form
    10,238.64/15,358.32 = 2,843.04/x
  3. Step 3: Cross multiply
    10,238.64x = 15,358.32 × 2,843.04
  4. Step 4: Simplify right side
    10,238.64x = 43,664,318.09
  5. Step 5: Solve for x
    x = 43,664,318.09/10,238.64
  6. Step 6: Final answer
    x = 4,264.66

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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.