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Finding the Fourth Proportional to 27,446.02, 41,165.38 and 7,726.26

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Solution

The fourth proportional to 27,446.02, 41,165.38 and 7,726.26 is: 11,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.02 : 41,165.38 = 7,726.26 : x
  2. Step 2: Convert to fraction form
    27,446.02/41,165.38 = 7,726.26/x
  3. Step 3: Cross multiply
    27,446.02x = 41,165.38 × 7,726.26
  4. Step 4: Simplify right side
    27,446.02x = 318,054,592.91
  5. Step 5: Solve for x
    x = 318,054,592.91/27,446.02
  6. Step 6: Final answer
    x = 11,588.37

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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.