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Finding the Fourth Proportional to 11,755.68, 17,633.04 and 4,830

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Solution

The fourth proportional to 11,755.68, 17,633.04 and 4,830 is: 7,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.68 : 17,633.04 = 4,830 : x
  2. Step 2: Convert to fraction form
    11,755.68/17,633.04 = 4,830/x
  3. Step 3: Cross multiply
    11,755.68x = 17,633.04 × 4,830
  4. Step 4: Simplify right side
    11,755.68x = 85,167,583.20
  5. Step 5: Solve for x
    x = 85,167,583.20/11,755.68
  6. Step 6: Final answer
    x = 7,244.80

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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.