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Finding the Fourth Proportional to 11,559, 17,335.60 and 3,236.86

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Solution

The fourth proportional to 11,559, 17,335.60 and 3,236.86 is: 4,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559 : 17,335.60 = 3,236.86 : x
  2. Step 2: Convert to fraction form
    11,559/17,335.60 = 3,236.86/x
  3. Step 3: Cross multiply
    11,559x = 17,335.60 × 3,236.86
  4. Step 4: Simplify right side
    11,559x = 56,112,910.22
  5. Step 5: Solve for x
    x = 56,112,910.22/11,559
  6. Step 6: Final answer
    x = 4,854.48

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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.