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Finding the Fourth Proportional to 26,312, 39,474.84 and 7,844

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Solution

The fourth proportional to 26,312, 39,474.84 and 7,844 is: 11,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,312 : 39,474.84 = 7,844 : x
  2. Step 2: Convert to fraction form
    26,312/39,474.84 = 7,844/x
  3. Step 3: Cross multiply
    26,312x = 39,474.84 × 7,844
  4. Step 4: Simplify right side
    26,312x = 309,640,644.96
  5. Step 5: Solve for x
    x = 309,640,644.96/26,312
  6. Step 6: Final answer
    x = 11,768.04

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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.