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Finding the Fourth Proportional to 27,375.96, 41,058.98 and 7,649.63

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Solution

The fourth proportional to 27,375.96, 41,058.98 and 7,649.63 is: 11,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,375.96 : 41,058.98 = 7,649.63 : x
  2. Step 2: Convert to fraction form
    27,375.96/41,058.98 = 7,649.63/x
  3. Step 3: Cross multiply
    27,375.96x = 41,058.98 × 7,649.63
  4. Step 4: Simplify right side
    27,375.96x = 314,086,005.18
  5. Step 5: Solve for x
    x = 314,086,005.18/27,375.96
  6. Step 6: Final answer
    x = 11,473.06

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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.