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Finding the Fourth Proportional to 11,303.82, 16,954.65 and 6,919.02

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Solution

The fourth proportional to 11,303.82, 16,954.65 and 6,919.02 is: 10,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.82 : 16,954.65 = 6,919.02 : x
  2. Step 2: Convert to fraction form
    11,303.82/16,954.65 = 6,919.02/x
  3. Step 3: Cross multiply
    11,303.82x = 16,954.65 × 6,919.02
  4. Step 4: Simplify right side
    11,303.82x = 117,309,562.44
  5. Step 5: Solve for x
    x = 117,309,562.44/11,303.82
  6. Step 6: Final answer
    x = 10,377.87

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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.