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Finding the Fourth Proportional to 8,249.12, 11,378.74 and 4,889.68

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Solution

The fourth proportional to 8,249.12, 11,378.74 and 4,889.68 is: 6,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.12 : 11,378.74 = 4,889.68 : x
  2. Step 2: Convert to fraction form
    8,249.12/11,378.74 = 4,889.68/x
  3. Step 3: Cross multiply
    8,249.12x = 11,378.74 × 4,889.68
  4. Step 4: Simplify right side
    8,249.12x = 55,638,438.07
  5. Step 5: Solve for x
    x = 55,638,438.07/8,249.12
  6. Step 6: Final answer
    x = 6,744.77

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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.