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Finding the Fourth Proportional to 11,610.96, 16,023.56 and 6,642

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Solution

The fourth proportional to 11,610.96, 16,023.56 and 6,642 is: 9,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.96 : 16,023.56 = 6,642 : x
  2. Step 2: Convert to fraction form
    11,610.96/16,023.56 = 6,642/x
  3. Step 3: Cross multiply
    11,610.96x = 16,023.56 × 6,642
  4. Step 4: Simplify right side
    11,610.96x = 106,428,485.52
  5. Step 5: Solve for x
    x = 106,428,485.52/11,610.96
  6. Step 6: Final answer
    x = 9,166.21

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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.