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Finding the Fourth Proportional to 11,765.43, 17,656.02 and 5,193.48

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Solution

The fourth proportional to 11,765.43, 17,656.02 and 5,193.48 is: 7,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.43 : 17,656.02 = 5,193.48 : x
  2. Step 2: Convert to fraction form
    11,765.43/17,656.02 = 5,193.48/x
  3. Step 3: Cross multiply
    11,765.43x = 17,656.02 × 5,193.48
  4. Step 4: Simplify right side
    11,765.43x = 91,696,186.75
  5. Step 5: Solve for x
    x = 91,696,186.75/11,765.43
  6. Step 6: Final answer
    x = 7,793.70

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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.