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Finding the Fourth Proportional to 8,617.82, 11,889.47 and 5,635.37

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Solution

The fourth proportional to 8,617.82, 11,889.47 and 5,635.37 is: 7,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.82 : 11,889.47 = 5,635.37 : x
  2. Step 2: Convert to fraction form
    8,617.82/11,889.47 = 5,635.37/x
  3. Step 3: Cross multiply
    8,617.82x = 11,889.47 × 5,635.37
  4. Step 4: Simplify right side
    8,617.82x = 67,001,562.55
  5. Step 5: Solve for x
    x = 67,001,562.55/8,617.82
  6. Step 6: Final answer
    x = 7,774.77

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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.