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Finding the Fourth Proportional to 7,744.14, 11,616.03 and 3,364.74

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Solution

The fourth proportional to 7,744.14, 11,616.03 and 3,364.74 is: 5,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.14 : 11,616.03 = 3,364.74 : x
  2. Step 2: Convert to fraction form
    7,744.14/11,616.03 = 3,364.74/x
  3. Step 3: Cross multiply
    7,744.14x = 11,616.03 × 3,364.74
  4. Step 4: Simplify right side
    7,744.14x = 39,084,920.78
  5. Step 5: Solve for x
    x = 39,084,920.78/7,744.14
  6. Step 6: Final answer
    x = 5,047.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.