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Finding the Fourth Proportional to 11,977.88, 16,529.65 and 6,874.23

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Solution

The fourth proportional to 11,977.88, 16,529.65 and 6,874.23 is: 9,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.88 : 16,529.65 = 6,874.23 : x
  2. Step 2: Convert to fraction form
    11,977.88/16,529.65 = 6,874.23/x
  3. Step 3: Cross multiply
    11,977.88x = 16,529.65 × 6,874.23
  4. Step 4: Simplify right side
    11,977.88x = 113,628,615.92
  5. Step 5: Solve for x
    x = 113,628,615.92/11,977.88
  6. Step 6: Final answer
    x = 9,486.54

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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.