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Finding the Fourth Proportional to 11,173.64, 16,760.44 and 2,853.66

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Solution

The fourth proportional to 11,173.64, 16,760.44 and 2,853.66 is: 4,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.64 : 16,760.44 = 2,853.66 : x
  2. Step 2: Convert to fraction form
    11,173.64/16,760.44 = 2,853.66/x
  3. Step 3: Cross multiply
    11,173.64x = 16,760.44 × 2,853.66
  4. Step 4: Simplify right side
    11,173.64x = 47,828,590.08
  5. Step 5: Solve for x
    x = 47,828,590.08/11,173.64
  6. Step 6: Final answer
    x = 4,280.49

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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.