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Finding the Fourth Proportional to 10,238.60, 15,357.92 and 2,843.08

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Solution

The fourth proportional to 10,238.60, 15,357.92 and 2,843.08 is: 4,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.60 : 15,357.92 = 2,843.08 : x
  2. Step 2: Convert to fraction form
    10,238.60/15,357.92 = 2,843.08/x
  3. Step 3: Cross multiply
    10,238.60x = 15,357.92 × 2,843.08
  4. Step 4: Simplify right side
    10,238.60x = 43,663,742.58
  5. Step 5: Solve for x
    x = 43,663,742.58/10,238.60
  6. Step 6: Final answer
    x = 4,264.62

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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.