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Finding the Fourth Proportional to 12,004.28, 16,568.94 and 7,164.22

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Solution

The fourth proportional to 12,004.28, 16,568.94 and 7,164.22 is: 9,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.28 : 16,568.94 = 7,164.22 : x
  2. Step 2: Convert to fraction form
    12,004.28/16,568.94 = 7,164.22/x
  3. Step 3: Cross multiply
    12,004.28x = 16,568.94 × 7,164.22
  4. Step 4: Simplify right side
    12,004.28x = 118,703,531.33
  5. Step 5: Solve for x
    x = 118,703,531.33/12,004.28
  6. Step 6: Final answer
    x = 9,888.43

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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.