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Finding the Fourth Proportional to 11,747.80, 16,213.74 and 6,713.08

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Solution

The fourth proportional to 11,747.80, 16,213.74 and 6,713.08 is: 9,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.80 : 16,213.74 = 6,713.08 : x
  2. Step 2: Convert to fraction form
    11,747.80/16,213.74 = 6,713.08/x
  3. Step 3: Cross multiply
    11,747.80x = 16,213.74 × 6,713.08
  4. Step 4: Simplify right side
    11,747.80x = 108,844,133.72
  5. Step 5: Solve for x
    x = 108,844,133.72/11,747.80
  6. Step 6: Final answer
    x = 9,265.07

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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.