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Finding the Fourth Proportional to 7,853.78, 11,761.23 and 5,768.84

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Solution

The fourth proportional to 7,853.78, 11,761.23 and 5,768.84 is: 8,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.78 : 11,761.23 = 5,768.84 : x
  2. Step 2: Convert to fraction form
    7,853.78/11,761.23 = 5,768.84/x
  3. Step 3: Cross multiply
    7,853.78x = 11,761.23 × 5,768.84
  4. Step 4: Simplify right side
    7,853.78x = 67,848,654.07
  5. Step 5: Solve for x
    x = 67,848,654.07/7,853.78
  6. Step 6: Final answer
    x = 8,638.98

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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.