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Finding the Fourth Proportional to 11,142.98, 16,714.50 and 2,823

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Solution

The fourth proportional to 11,142.98, 16,714.50 and 2,823 is: 4,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.98 : 16,714.50 = 2,823 : x
  2. Step 2: Convert to fraction form
    11,142.98/16,714.50 = 2,823/x
  3. Step 3: Cross multiply
    11,142.98x = 16,714.50 × 2,823
  4. Step 4: Simplify right side
    11,142.98x = 47,185,033.50
  5. Step 5: Solve for x
    x = 47,185,033.50/11,142.98
  6. Step 6: Final answer
    x = 4,234.51

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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.