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Finding the Fourth Proportional to 12,004.22, 16,563.16 and 6,965.52

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Solution

The fourth proportional to 12,004.22, 16,563.16 and 6,965.52 is: 9,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.22 : 16,563.16 = 6,965.52 : x
  2. Step 2: Convert to fraction form
    12,004.22/16,563.16 = 6,965.52/x
  3. Step 3: Cross multiply
    12,004.22x = 16,563.16 × 6,965.52
  4. Step 4: Simplify right side
    12,004.22x = 115,371,022.24
  5. Step 5: Solve for x
    x = 115,371,022.24/12,004.22
  6. Step 6: Final answer
    x = 9,610.87

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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.