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Finding the Fourth Proportional to 27,726.77, 41,577.80 and 8,000.64

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Solution

The fourth proportional to 27,726.77, 41,577.80 and 8,000.64 is: 11,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.77 : 41,577.80 = 8,000.64 : x
  2. Step 2: Convert to fraction form
    27,726.77/41,577.80 = 8,000.64/x
  3. Step 3: Cross multiply
    27,726.77x = 41,577.80 × 8,000.64
  4. Step 4: Simplify right side
    27,726.77x = 332,648,969.79
  5. Step 5: Solve for x
    x = 332,648,969.79/27,726.77
  6. Step 6: Final answer
    x = 11,997.39

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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.