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Finding the Fourth Proportional to 11,072, 16,608 and 4,501.76

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Solution

The fourth proportional to 11,072, 16,608 and 4,501.76 is: 6,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072 : 16,608 = 4,501.76 : x
  2. Step 2: Convert to fraction form
    11,072/16,608 = 4,501.76/x
  3. Step 3: Cross multiply
    11,072x = 16,608 × 4,501.76
  4. Step 4: Simplify right side
    11,072x = 74,765,230.08
  5. Step 5: Solve for x
    x = 74,765,230.08/11,072
  6. Step 6: Final answer
    x = 6,752.64

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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.