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Finding the Fourth Proportional to 11,694.12, 17,541.16 and 7,339.24

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Solution

The fourth proportional to 11,694.12, 17,541.16 and 7,339.24 is: 11,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.12 : 17,541.16 = 7,339.24 : x
  2. Step 2: Convert to fraction form
    11,694.12/17,541.16 = 7,339.24/x
  3. Step 3: Cross multiply
    11,694.12x = 17,541.16 × 7,339.24
  4. Step 4: Simplify right side
    11,694.12x = 128,738,783.12
  5. Step 5: Solve for x
    x = 128,738,783.12/11,694.12
  6. Step 6: Final answer
    x = 11,008.85

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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.