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Finding the Fourth Proportional to 11,587.88, 17,381.80 and 3,267.88

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Solution

The fourth proportional to 11,587.88, 17,381.80 and 3,267.88 is: 4,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.88 : 17,381.80 = 3,267.88 : x
  2. Step 2: Convert to fraction form
    11,587.88/17,381.80 = 3,267.88/x
  3. Step 3: Cross multiply
    11,587.88x = 17,381.80 × 3,267.88
  4. Step 4: Simplify right side
    11,587.88x = 56,801,636.58
  5. Step 5: Solve for x
    x = 56,801,636.58/11,587.88
  6. Step 6: Final answer
    x = 4,901.81

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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.