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Finding the Fourth Proportional to 8,349.01, 11,460.22 and 7,383.64

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Solution

The fourth proportional to 8,349.01, 11,460.22 and 7,383.64 is: 10,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.01 : 11,460.22 = 7,383.64 : x
  2. Step 2: Convert to fraction form
    8,349.01/11,460.22 = 7,383.64/x
  3. Step 3: Cross multiply
    8,349.01x = 11,460.22 × 7,383.64
  4. Step 4: Simplify right side
    8,349.01x = 84,618,138.80
  5. Step 5: Solve for x
    x = 84,618,138.80/8,349.01
  6. Step 6: Final answer
    x = 10,135.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.