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Finding the Fourth Proportional to 7,754.74, 11,631.75 and 3,855.94

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Solution

The fourth proportional to 7,754.74, 11,631.75 and 3,855.94 is: 5,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.74 : 11,631.75 = 3,855.94 : x
  2. Step 2: Convert to fraction form
    7,754.74/11,631.75 = 3,855.94/x
  3. Step 3: Cross multiply
    7,754.74x = 11,631.75 × 3,855.94
  4. Step 4: Simplify right side
    7,754.74x = 44,851,330.10
  5. Step 5: Solve for x
    x = 44,851,330.10/7,754.74
  6. Step 6: Final answer
    x = 5,783.73

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Why These Related Problems?

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