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Finding the Fourth Proportional to 27,525.47, 41,290.26 and 7,805.61

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Solution

The fourth proportional to 27,525.47, 41,290.26 and 7,805.61 is: 11,709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.47 : 41,290.26 = 7,805.61 : x
  2. Step 2: Convert to fraction form
    27,525.47/41,290.26 = 7,805.61/x
  3. Step 3: Cross multiply
    27,525.47x = 41,290.26 × 7,805.61
  4. Step 4: Simplify right side
    27,525.47x = 322,295,850.47
  5. Step 5: Solve for x
    x = 322,295,850.47/27,525.47
  6. Step 6: Final answer
    x = 11,709.00

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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.