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Finding the Fourth Proportional to 11,690.58, 17,530.18 and 3,896.76

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Solution

The fourth proportional to 11,690.58, 17,530.18 and 3,896.76 is: 5,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.58 : 17,530.18 = 3,896.76 : x
  2. Step 2: Convert to fraction form
    11,690.58/17,530.18 = 3,896.76/x
  3. Step 3: Cross multiply
    11,690.58x = 17,530.18 × 3,896.76
  4. Step 4: Simplify right side
    11,690.58x = 68,310,904.22
  5. Step 5: Solve for x
    x = 68,310,904.22/11,690.58
  6. Step 6: Final answer
    x = 5,843.24

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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.