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Finding the Fourth Proportional to 10,238.15, 15,357.53 and 2,843.16

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Solution

The fourth proportional to 10,238.15, 15,357.53 and 2,843.16 is: 4,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.15 : 15,357.53 = 2,843.16 : x
  2. Step 2: Convert to fraction form
    10,238.15/15,357.53 = 2,843.16/x
  3. Step 3: Cross multiply
    10,238.15x = 15,357.53 × 2,843.16
  4. Step 4: Simplify right side
    10,238.15x = 43,663,914.99
  5. Step 5: Solve for x
    x = 43,663,914.99/10,238.15
  6. Step 6: Final answer
    x = 4,264.82

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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.