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Finding the Fourth Proportional to 7,755.66, 11,633.07 and 2,561.34

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Solution

The fourth proportional to 7,755.66, 11,633.07 and 2,561.34 is: 3,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.66 : 11,633.07 = 2,561.34 : x
  2. Step 2: Convert to fraction form
    7,755.66/11,633.07 = 2,561.34/x
  3. Step 3: Cross multiply
    7,755.66x = 11,633.07 × 2,561.34
  4. Step 4: Simplify right side
    7,755.66x = 29,796,247.51
  5. Step 5: Solve for x
    x = 29,796,247.51/7,755.66
  6. Step 6: Final answer
    x = 3,841.87

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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.