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Finding the Fourth Proportional to 11,092.82, 15,308 and 6,057.03

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Solution

The fourth proportional to 11,092.82, 15,308 and 6,057.03 is: 8,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.82 : 15,308 = 6,057.03 : x
  2. Step 2: Convert to fraction form
    11,092.82/15,308 = 6,057.03/x
  3. Step 3: Cross multiply
    11,092.82x = 15,308 × 6,057.03
  4. Step 4: Simplify right side
    11,092.82x = 92,721,015.24
  5. Step 5: Solve for x
    x = 92,721,015.24/11,092.82
  6. Step 6: Final answer
    x = 8,358.65

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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.