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Finding the Fourth Proportional to 7,747.75, 10,690.03 and 4,914.09

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Solution

The fourth proportional to 7,747.75, 10,690.03 and 4,914.09 is: 6,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.75 : 10,690.03 = 4,914.09 : x
  2. Step 2: Convert to fraction form
    7,747.75/10,690.03 = 4,914.09/x
  3. Step 3: Cross multiply
    7,747.75x = 10,690.03 × 4,914.09
  4. Step 4: Simplify right side
    7,747.75x = 52,531,790.84
  5. Step 5: Solve for x
    x = 52,531,790.84/7,747.75
  6. Step 6: Final answer
    x = 6,780.26

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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.