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Finding the Fourth Proportional to 11,305.50, 16,958.28 and 3,514.32

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Solution

The fourth proportional to 11,305.50, 16,958.28 and 3,514.32 is: 5,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.50 : 16,958.28 = 3,514.32 : x
  2. Step 2: Convert to fraction form
    11,305.50/16,958.28 = 3,514.32/x
  3. Step 3: Cross multiply
    11,305.50x = 16,958.28 × 3,514.32
  4. Step 4: Simplify right side
    11,305.50x = 59,596,822.57
  5. Step 5: Solve for x
    x = 59,596,822.57/11,305.50
  6. Step 6: Final answer
    x = 5,271.49

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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.