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Finding the Fourth Proportional to 8,238.35, 12,419.07 and 7,537.77

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Solution

The fourth proportional to 8,238.35, 12,419.07 and 7,537.77 is: 11,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.35 : 12,419.07 = 7,537.77 : x
  2. Step 2: Convert to fraction form
    8,238.35/12,419.07 = 7,537.77/x
  3. Step 3: Cross multiply
    8,238.35x = 12,419.07 × 7,537.77
  4. Step 4: Simplify right side
    8,238.35x = 93,612,093.27
  5. Step 5: Solve for x
    x = 93,612,093.27/8,238.35
  6. Step 6: Final answer
    x = 11,362.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.