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Finding the Fourth Proportional to 11,405.96, 17,097.24 and 5,474.24

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Solution

The fourth proportional to 11,405.96, 17,097.24 and 5,474.24 is: 8,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.96 : 17,097.24 = 5,474.24 : x
  2. Step 2: Convert to fraction form
    11,405.96/17,097.24 = 5,474.24/x
  3. Step 3: Cross multiply
    11,405.96x = 17,097.24 × 5,474.24
  4. Step 4: Simplify right side
    11,405.96x = 93,594,395.10
  5. Step 5: Solve for x
    x = 93,594,395.10/11,405.96
  6. Step 6: Final answer
    x = 8,205.74

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Why These Related Problems?

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