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Finding the Fourth Proportional to 7,768.86, 11,653.69 and 2,223.02

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Solution

The fourth proportional to 7,768.86, 11,653.69 and 2,223.02 is: 3,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.86 : 11,653.69 = 2,223.02 : x
  2. Step 2: Convert to fraction form
    7,768.86/11,653.69 = 2,223.02/x
  3. Step 3: Cross multiply
    7,768.86x = 11,653.69 × 2,223.02
  4. Step 4: Simplify right side
    7,768.86x = 25,906,348.14
  5. Step 5: Solve for x
    x = 25,906,348.14/7,768.86
  6. Step 6: Final answer
    x = 3,334.64

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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.