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Finding the Fourth Proportional to 11,002.84, 16,505.42 and 3,211.67

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Solution

The fourth proportional to 11,002.84, 16,505.42 and 3,211.67 is: 4,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.84 : 16,505.42 = 3,211.67 : x
  2. Step 2: Convert to fraction form
    11,002.84/16,505.42 = 3,211.67/x
  3. Step 3: Cross multiply
    11,002.84x = 16,505.42 × 3,211.67
  4. Step 4: Simplify right side
    11,002.84x = 53,009,987.46
  5. Step 5: Solve for x
    x = 53,009,987.46/11,002.84
  6. Step 6: Final answer
    x = 4,817.85

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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.