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Finding the Fourth Proportional to 8,086.24, 11,159 and 4,549.46

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Solution

The fourth proportional to 8,086.24, 11,159 and 4,549.46 is: 6,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.24 : 11,159 = 4,549.46 : x
  2. Step 2: Convert to fraction form
    8,086.24/11,159 = 4,549.46/x
  3. Step 3: Cross multiply
    8,086.24x = 11,159 × 4,549.46
  4. Step 4: Simplify right side
    8,086.24x = 50,767,424.14
  5. Step 5: Solve for x
    x = 50,767,424.14/8,086.24
  6. Step 6: Final answer
    x = 6,278.25

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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.