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Finding the Fourth Proportional to 11,355.96, 17,005.38 and 7,183.32

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Solution

The fourth proportional to 11,355.96, 17,005.38 and 7,183.32 is: 10,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.96 : 17,005.38 = 7,183.32 : x
  2. Step 2: Convert to fraction form
    11,355.96/17,005.38 = 7,183.32/x
  3. Step 3: Cross multiply
    11,355.96x = 17,005.38 × 7,183.32
  4. Step 4: Simplify right side
    11,355.96x = 122,155,086.26
  5. Step 5: Solve for x
    x = 122,155,086.26/11,355.96
  6. Step 6: Final answer
    x = 10,756.91

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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.