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Finding the Fourth Proportional to 10,238.00, 15,357.30 and 2,843

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Solution

The fourth proportional to 10,238.00, 15,357.30 and 2,843 is: 4,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.00 : 15,357.30 = 2,843 : x
  2. Step 2: Convert to fraction form
    10,238.00/15,357.30 = 2,843/x
  3. Step 3: Cross multiply
    10,238.00x = 15,357.30 × 2,843
  4. Step 4: Simplify right side
    10,238.00x = 43,660,800.35
  5. Step 5: Solve for x
    x = 43,660,800.35/10,238.00
  6. Step 6: Final answer
    x = 4,264.58

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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.