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Finding the Fourth Proportional to 11,648.46, 16,074.99 and 6,679.50

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Solution

The fourth proportional to 11,648.46, 16,074.99 and 6,679.50 is: 9,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.46 : 16,074.99 = 6,679.50 : x
  2. Step 2: Convert to fraction form
    11,648.46/16,074.99 = 6,679.50/x
  3. Step 3: Cross multiply
    11,648.46x = 16,074.99 × 6,679.50
  4. Step 4: Simplify right side
    11,648.46x = 107,372,895.71
  5. Step 5: Solve for x
    x = 107,372,895.71/11,648.46
  6. Step 6: Final answer
    x = 9,217.78

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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.