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Finding the Fourth Proportional to 7,733, 11,601.42 and 2,261

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Solution

The fourth proportional to 7,733, 11,601.42 and 2,261 is: 3,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 11,601.42 = 2,261 : x
  2. Step 2: Convert to fraction form
    7,733/11,601.42 = 2,261/x
  3. Step 3: Cross multiply
    7,733x = 11,601.42 × 2,261
  4. Step 4: Simplify right side
    7,733x = 26,230,810.62
  5. Step 5: Solve for x
    x = 26,230,810.62/7,733
  6. Step 6: Final answer
    x = 3,392.06

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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.