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Finding the Fourth Proportional to 11,765.25, 17,655.17 and 6,837.21

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Solution

The fourth proportional to 11,765.25, 17,655.17 and 6,837.21 is: 10,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.25 : 17,655.17 = 6,837.21 : x
  2. Step 2: Convert to fraction form
    11,765.25/17,655.17 = 6,837.21/x
  3. Step 3: Cross multiply
    11,765.25x = 17,655.17 × 6,837.21
  4. Step 4: Simplify right side
    11,765.25x = 120,712,070.69
  5. Step 5: Solve for x
    x = 120,712,070.69/11,765.25
  6. Step 6: Final answer
    x = 10,260.05

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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.