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Finding the Fourth Proportional to 11,543.67, 15,930.34 and 6,238.47

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Solution

The fourth proportional to 11,543.67, 15,930.34 and 6,238.47 is: 8,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.67 : 15,930.34 = 6,238.47 : x
  2. Step 2: Convert to fraction form
    11,543.67/15,930.34 = 6,238.47/x
  3. Step 3: Cross multiply
    11,543.67x = 15,930.34 × 6,238.47
  4. Step 4: Simplify right side
    11,543.67x = 99,380,992.32
  5. Step 5: Solve for x
    x = 99,380,992.32/11,543.67
  6. Step 6: Final answer
    x = 8,609.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.