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Finding the Fourth Proportional to 11,543.82, 15,930.36 and 6,439.38

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Solution

The fourth proportional to 11,543.82, 15,930.36 and 6,439.38 is: 8,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.82 : 15,930.36 = 6,439.38 : x
  2. Step 2: Convert to fraction form
    11,543.82/15,930.36 = 6,439.38/x
  3. Step 3: Cross multiply
    11,543.82x = 15,930.36 × 6,439.38
  4. Step 4: Simplify right side
    11,543.82x = 102,581,641.58
  5. Step 5: Solve for x
    x = 102,581,641.58/11,543.82
  6. Step 6: Final answer
    x = 8,886.28

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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.