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Finding the Fourth Proportional to 11,302.26, 16,952.04 and 2,982.90

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Solution

The fourth proportional to 11,302.26, 16,952.04 and 2,982.90 is: 4,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.26 : 16,952.04 = 2,982.90 : x
  2. Step 2: Convert to fraction form
    11,302.26/16,952.04 = 2,982.90/x
  3. Step 3: Cross multiply
    11,302.26x = 16,952.04 × 2,982.90
  4. Step 4: Simplify right side
    11,302.26x = 50,566,240.12
  5. Step 5: Solve for x
    x = 50,566,240.12/11,302.26
  6. Step 6: Final answer
    x = 4,473.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.