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Finding the Fourth Proportional to 11,142.36, 16,720.02 and 4,568.40

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Solution

The fourth proportional to 11,142.36, 16,720.02 and 4,568.40 is: 6,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.36 : 16,720.02 = 4,568.40 : x
  2. Step 2: Convert to fraction form
    11,142.36/16,720.02 = 4,568.40/x
  3. Step 3: Cross multiply
    11,142.36x = 16,720.02 × 4,568.40
  4. Step 4: Simplify right side
    11,142.36x = 76,383,739.37
  5. Step 5: Solve for x
    x = 76,383,739.37/11,142.36
  6. Step 6: Final answer
    x = 6,855.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.