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Finding the Fourth Proportional to 27,855.24, 41,785.32 and 7,864.90

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Solution

The fourth proportional to 27,855.24, 41,785.32 and 7,864.90 is: 11,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.24 : 41,785.32 = 7,864.90 : x
  2. Step 2: Convert to fraction form
    27,855.24/41,785.32 = 7,864.90/x
  3. Step 3: Cross multiply
    27,855.24x = 41,785.32 × 7,864.90
  4. Step 4: Simplify right side
    27,855.24x = 328,637,363.27
  5. Step 5: Solve for x
    x = 328,637,363.27/27,855.24
  6. Step 6: Final answer
    x = 11,798.04

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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.