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Finding the Fourth Proportional to 11,488.82, 17,241.81 and 8,534.09

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Solution

The fourth proportional to 11,488.82, 17,241.81 and 8,534.09 is: 12,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.82 : 17,241.81 = 8,534.09 : x
  2. Step 2: Convert to fraction form
    11,488.82/17,241.81 = 8,534.09/x
  3. Step 3: Cross multiply
    11,488.82x = 17,241.81 × 8,534.09
  4. Step 4: Simplify right side
    11,488.82x = 147,143,115.20
  5. Step 5: Solve for x
    x = 147,143,115.20/11,488.82
  6. Step 6: Final answer
    x = 12,807.50

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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.