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Finding the Fourth Proportional to 27,840.52, 41,763.20 and 7,064

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Solution

The fourth proportional to 27,840.52, 41,763.20 and 7,064 is: 10,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.52 : 41,763.20 = 7,064 : x
  2. Step 2: Convert to fraction form
    27,840.52/41,763.20 = 7,064/x
  3. Step 3: Cross multiply
    27,840.52x = 41,763.20 × 7,064
  4. Step 4: Simplify right side
    27,840.52x = 295,015,244.80
  5. Step 5: Solve for x
    x = 295,015,244.80/27,840.52
  6. Step 6: Final answer
    x = 10,596.61

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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.