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Finding the Fourth Proportional to 11,744.22, 16,207.78 and 7,758.35

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Solution

The fourth proportional to 11,744.22, 16,207.78 and 7,758.35 is: 10,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.22 : 16,207.78 = 7,758.35 : x
  2. Step 2: Convert to fraction form
    11,744.22/16,207.78 = 7,758.35/x
  3. Step 3: Cross multiply
    11,744.22x = 16,207.78 × 7,758.35
  4. Step 4: Simplify right side
    11,744.22x = 125,745,604.85
  5. Step 5: Solve for x
    x = 125,745,604.85/11,744.22
  6. Step 6: Final answer
    x = 10,707.02

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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.