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Finding the Fourth Proportional to 11,627.12, 16,045.44 and 6,321.68

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Solution

The fourth proportional to 11,627.12, 16,045.44 and 6,321.68 is: 8,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.12 : 16,045.44 = 6,321.68 : x
  2. Step 2: Convert to fraction form
    11,627.12/16,045.44 = 6,321.68/x
  3. Step 3: Cross multiply
    11,627.12x = 16,045.44 × 6,321.68
  4. Step 4: Simplify right side
    11,627.12x = 101,434,137.14
  5. Step 5: Solve for x
    x = 101,434,137.14/11,627.12
  6. Step 6: Final answer
    x = 8,723.93

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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.