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Finding the Fourth Proportional to 11,762.70, 17,644.05 and 4,837.20

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Solution

The fourth proportional to 11,762.70, 17,644.05 and 4,837.20 is: 7,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.70 : 17,644.05 = 4,837.20 : x
  2. Step 2: Convert to fraction form
    11,762.70/17,644.05 = 4,837.20/x
  3. Step 3: Cross multiply
    11,762.70x = 17,644.05 × 4,837.20
  4. Step 4: Simplify right side
    11,762.70x = 85,347,798.66
  5. Step 5: Solve for x
    x = 85,347,798.66/11,762.70
  6. Step 6: Final answer
    x = 7,255.80

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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.