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Finding the Fourth Proportional to 8,238.36, 12,357.54 and 3,858.90

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Solution

The fourth proportional to 8,238.36, 12,357.54 and 3,858.90 is: 5,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.36 : 12,357.54 = 3,858.90 : x
  2. Step 2: Convert to fraction form
    8,238.36/12,357.54 = 3,858.90/x
  3. Step 3: Cross multiply
    8,238.36x = 12,357.54 × 3,858.90
  4. Step 4: Simplify right side
    8,238.36x = 47,686,511.11
  5. Step 5: Solve for x
    x = 47,686,511.11/8,238.36
  6. Step 6: Final answer
    x = 5,788.35

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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.