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Finding the Fourth Proportional to 11,296.77, 15,589.67 and 6,261.09

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Solution

The fourth proportional to 11,296.77, 15,589.67 and 6,261.09 is: 8,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.77 : 15,589.67 = 6,261.09 : x
  2. Step 2: Convert to fraction form
    11,296.77/15,589.67 = 6,261.09/x
  3. Step 3: Cross multiply
    11,296.77x = 15,589.67 × 6,261.09
  4. Step 4: Simplify right side
    11,296.77x = 97,608,237.17
  5. Step 5: Solve for x
    x = 97,608,237.17/11,296.77
  6. Step 6: Final answer
    x = 8,640.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.