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Finding the Fourth Proportional to 8,694.16, 11,997.21 and 5,156.75

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Solution

The fourth proportional to 8,694.16, 11,997.21 and 5,156.75 is: 7,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.16 : 11,997.21 = 5,156.75 : x
  2. Step 2: Convert to fraction form
    8,694.16/11,997.21 = 5,156.75/x
  3. Step 3: Cross multiply
    8,694.16x = 11,997.21 × 5,156.75
  4. Step 4: Simplify right side
    8,694.16x = 61,866,662.00
  5. Step 5: Solve for x
    x = 61,866,662.00/8,694.16
  6. Step 6: Final answer
    x = 7,115.89

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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.