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Finding the Fourth Proportional to 8,498.98, 11,727.75 and 4,961.71

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Solution

The fourth proportional to 8,498.98, 11,727.75 and 4,961.71 is: 6,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.98 : 11,727.75 = 4,961.71 : x
  2. Step 2: Convert to fraction form
    8,498.98/11,727.75 = 4,961.71/x
  3. Step 3: Cross multiply
    8,498.98x = 11,727.75 × 4,961.71
  4. Step 4: Simplify right side
    8,498.98x = 58,189,694.45
  5. Step 5: Solve for x
    x = 58,189,694.45/8,498.98
  6. Step 6: Final answer
    x = 6,846.67

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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.