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Finding the Fourth Proportional to 27,526.37, 41,283.68 and 7,805.09

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Solution

The fourth proportional to 27,526.37, 41,283.68 and 7,805.09 is: 11,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526.37 : 41,283.68 = 7,805.09 : x
  2. Step 2: Convert to fraction form
    27,526.37/41,283.68 = 7,805.09/x
  3. Step 3: Cross multiply
    27,526.37x = 41,283.68 × 7,805.09
  4. Step 4: Simplify right side
    27,526.37x = 322,222,902.11
  5. Step 5: Solve for x
    x = 322,222,902.11/27,526.37
  6. Step 6: Final answer
    x = 11,705.97

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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.