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Finding the Fourth Proportional to 11,047.50, 16,572.06 and 4,122

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Solution

The fourth proportional to 11,047.50, 16,572.06 and 4,122 is: 6,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.50 : 16,572.06 = 4,122 : x
  2. Step 2: Convert to fraction form
    11,047.50/16,572.06 = 4,122/x
  3. Step 3: Cross multiply
    11,047.50x = 16,572.06 × 4,122
  4. Step 4: Simplify right side
    11,047.50x = 68,310,031.32
  5. Step 5: Solve for x
    x = 68,310,031.32/11,047.50
  6. Step 6: Final answer
    x = 6,183.30

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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.