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Finding the Fourth Proportional to 11,520.94, 17,284.43 and 3,623.14

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Solution

The fourth proportional to 11,520.94, 17,284.43 and 3,623.14 is: 5,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.94 : 17,284.43 = 3,623.14 : x
  2. Step 2: Convert to fraction form
    11,520.94/17,284.43 = 3,623.14/x
  3. Step 3: Cross multiply
    11,520.94x = 17,284.43 × 3,623.14
  4. Step 4: Simplify right side
    11,520.94x = 62,623,866.50
  5. Step 5: Solve for x
    x = 62,623,866.50/11,520.94
  6. Step 6: Final answer
    x = 5,435.65

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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.