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Finding the Fourth Proportional to 11,333.96, 15,640.38 and 6,298.52

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Solution

The fourth proportional to 11,333.96, 15,640.38 and 6,298.52 is: 8,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.96 : 15,640.38 = 6,298.52 : x
  2. Step 2: Convert to fraction form
    11,333.96/15,640.38 = 6,298.52/x
  3. Step 3: Cross multiply
    11,333.96x = 15,640.38 × 6,298.52
  4. Step 4: Simplify right side
    11,333.96x = 98,511,246.24
  5. Step 5: Solve for x
    x = 98,511,246.24/11,333.96
  6. Step 6: Final answer
    x = 8,691.69

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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.