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Finding the Fourth Proportional to 8,095.82, 11,173.01 and 4,738.43

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Solution

The fourth proportional to 8,095.82, 11,173.01 and 4,738.43 is: 6,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.82 : 11,173.01 = 4,738.43 : x
  2. Step 2: Convert to fraction form
    8,095.82/11,173.01 = 4,738.43/x
  3. Step 3: Cross multiply
    8,095.82x = 11,173.01 × 4,738.43
  4. Step 4: Simplify right side
    8,095.82x = 52,942,530.01
  5. Step 5: Solve for x
    x = 52,942,530.01/8,095.82
  6. Step 6: Final answer
    x = 6,539.49

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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.