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Finding the Fourth Proportional to 8,189.44, 11,299.44 and 4,652

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Solution

The fourth proportional to 8,189.44, 11,299.44 and 4,652 is: 6,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.44 : 11,299.44 = 4,652 : x
  2. Step 2: Convert to fraction form
    8,189.44/11,299.44 = 4,652/x
  3. Step 3: Cross multiply
    8,189.44x = 11,299.44 × 4,652
  4. Step 4: Simplify right side
    8,189.44x = 52,564,994.88
  5. Step 5: Solve for x
    x = 52,564,994.88/8,189.44
  6. Step 6: Final answer
    x = 6,418.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.