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Finding the Fourth Proportional to 11,029.42, 16,549.02 and 4,468.42

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Solution

The fourth proportional to 11,029.42, 16,549.02 and 4,468.42 is: 6,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.42 : 16,549.02 = 4,468.42 : x
  2. Step 2: Convert to fraction form
    11,029.42/16,549.02 = 4,468.42/x
  3. Step 3: Cross multiply
    11,029.42x = 16,549.02 × 4,468.42
  4. Step 4: Simplify right side
    11,029.42x = 73,947,971.95
  5. Step 5: Solve for x
    x = 73,947,971.95/11,029.42
  6. Step 6: Final answer
    x = 6,704.61

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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.