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Finding the Fourth Proportional to 11,002.96, 16,503.10 and 3,211.78

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Solution

The fourth proportional to 11,002.96, 16,503.10 and 3,211.78 is: 4,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.96 : 16,503.10 = 3,211.78 : x
  2. Step 2: Convert to fraction form
    11,002.96/16,503.10 = 3,211.78/x
  3. Step 3: Cross multiply
    11,002.96x = 16,503.10 × 3,211.78
  4. Step 4: Simplify right side
    11,002.96x = 53,004,326.52
  5. Step 5: Solve for x
    x = 53,004,326.52/11,002.96
  6. Step 6: Final answer
    x = 4,817.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.