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Finding the Fourth Proportional to 8,349.39, 11,520.25 and 4,991.64

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Solution

The fourth proportional to 8,349.39, 11,520.25 and 4,991.64 is: 6,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.39 : 11,520.25 = 4,991.64 : x
  2. Step 2: Convert to fraction form
    8,349.39/11,520.25 = 4,991.64/x
  3. Step 3: Cross multiply
    8,349.39x = 11,520.25 × 4,991.64
  4. Step 4: Simplify right side
    8,349.39x = 57,504,940.71
  5. Step 5: Solve for x
    x = 57,504,940.71/8,349.39
  6. Step 6: Final answer
    x = 6,887.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.