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Finding the Fourth Proportional to 10,792.64, 16,190.55 and 5,530.64

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Solution

The fourth proportional to 10,792.64, 16,190.55 and 5,530.64 is: 8,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.64 : 16,190.55 = 5,530.64 : x
  2. Step 2: Convert to fraction form
    10,792.64/16,190.55 = 5,530.64/x
  3. Step 3: Cross multiply
    10,792.64x = 16,190.55 × 5,530.64
  4. Step 4: Simplify right side
    10,792.64x = 89,544,022.50
  5. Step 5: Solve for x
    x = 89,544,022.50/10,792.64
  6. Step 6: Final answer
    x = 8,296.77

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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.