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Finding the Fourth Proportional to 11,744.13, 16,207.65 and 7,758.26

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Solution

The fourth proportional to 11,744.13, 16,207.65 and 7,758.26 is: 10,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.13 : 16,207.65 = 7,758.26 : x
  2. Step 2: Convert to fraction form
    11,744.13/16,207.65 = 7,758.26/x
  3. Step 3: Cross multiply
    11,744.13x = 16,207.65 × 7,758.26
  4. Step 4: Simplify right side
    11,744.13x = 125,743,081.65
  5. Step 5: Solve for x
    x = 125,743,081.65/11,744.13
  6. Step 6: Final answer
    x = 10,706.89

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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.