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Finding the Fourth Proportional to 27,535.35, 41,302.32 and 7,813.92

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Solution

The fourth proportional to 27,535.35, 41,302.32 and 7,813.92 is: 11,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.35 : 41,302.32 = 7,813.92 : x
  2. Step 2: Convert to fraction form
    27,535.35/41,302.32 = 7,813.92/x
  3. Step 3: Cross multiply
    27,535.35x = 41,302.32 × 7,813.92
  4. Step 4: Simplify right side
    27,535.35x = 322,733,024.29
  5. Step 5: Solve for x
    x = 322,733,024.29/27,535.35
  6. Step 6: Final answer
    x = 11,720.68

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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.