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Finding the Fourth Proportional to 11,129.69, 15,358.38 and 6,092.94

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Solution

The fourth proportional to 11,129.69, 15,358.38 and 6,092.94 is: 8,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.69 : 15,358.38 = 6,092.94 : x
  2. Step 2: Convert to fraction form
    11,129.69/15,358.38 = 6,092.94/x
  3. Step 3: Cross multiply
    11,129.69x = 15,358.38 × 6,092.94
  4. Step 4: Simplify right side
    11,129.69x = 93,577,768.28
  5. Step 5: Solve for x
    x = 93,577,768.28/11,129.69
  6. Step 6: Final answer
    x = 8,407.94

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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.