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Finding the Fourth Proportional to 11,704.13, 16,150.47 and 6,667.29

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Solution

The fourth proportional to 11,704.13, 16,150.47 and 6,667.29 is: 9,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.13 : 16,150.47 = 6,667.29 : x
  2. Step 2: Convert to fraction form
    11,704.13/16,150.47 = 6,667.29/x
  3. Step 3: Cross multiply
    11,704.13x = 16,150.47 × 6,667.29
  4. Step 4: Simplify right side
    11,704.13x = 107,679,867.13
  5. Step 5: Solve for x
    x = 107,679,867.13/11,704.13
  6. Step 6: Final answer
    x = 9,200.16

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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.