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Finding the Fourth Proportional to 11,756.99, 16,224.59 and 6,379.43

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Solution

The fourth proportional to 11,756.99, 16,224.59 and 6,379.43 is: 8,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.99 : 16,224.59 = 6,379.43 : x
  2. Step 2: Convert to fraction form
    11,756.99/16,224.59 = 6,379.43/x
  3. Step 3: Cross multiply
    11,756.99x = 16,224.59 × 6,379.43
  4. Step 4: Simplify right side
    11,756.99x = 103,503,555.06
  5. Step 5: Solve for x
    x = 103,503,555.06/11,756.99
  6. Step 6: Final answer
    x = 8,803.58

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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.