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Finding the Fourth Proportional to 7,768.93, 11,653.23 and 2,222.24

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Solution

The fourth proportional to 7,768.93, 11,653.23 and 2,222.24 is: 3,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.93 : 11,653.23 = 2,222.24 : x
  2. Step 2: Convert to fraction form
    7,768.93/11,653.23 = 2,222.24/x
  3. Step 3: Cross multiply
    7,768.93x = 11,653.23 × 2,222.24
  4. Step 4: Simplify right side
    7,768.93x = 25,896,223.90
  5. Step 5: Solve for x
    x = 25,896,223.90/7,768.93
  6. Step 6: Final answer
    x = 3,333.31

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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.