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Finding the Fourth Proportional to 11,000.34, 16,500.51 and 5,152.68

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Solution

The fourth proportional to 11,000.34, 16,500.51 and 5,152.68 is: 7,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.34 : 16,500.51 = 5,152.68 : x
  2. Step 2: Convert to fraction form
    11,000.34/16,500.51 = 5,152.68/x
  3. Step 3: Cross multiply
    11,000.34x = 16,500.51 × 5,152.68
  4. Step 4: Simplify right side
    11,000.34x = 85,021,847.87
  5. Step 5: Solve for x
    x = 85,021,847.87/11,000.34
  6. Step 6: Final answer
    x = 7,729.02

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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.