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Finding the Fourth Proportional to 8,362.47, 11,531.60 and 5,843.66

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Solution

The fourth proportional to 8,362.47, 11,531.60 and 5,843.66 is: 8,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.47 : 11,531.60 = 5,843.66 : x
  2. Step 2: Convert to fraction form
    8,362.47/11,531.60 = 5,843.66/x
  3. Step 3: Cross multiply
    8,362.47x = 11,531.60 × 5,843.66
  4. Step 4: Simplify right side
    8,362.47x = 67,386,749.56
  5. Step 5: Solve for x
    x = 67,386,749.56/8,362.47
  6. Step 6: Final answer
    x = 8,058.23

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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.