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Finding the Fourth Proportional to 11,720.50, 16,174.29 and 8,738.89

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Solution

The fourth proportional to 11,720.50, 16,174.29 and 8,738.89 is: 12,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.50 : 16,174.29 = 8,738.89 : x
  2. Step 2: Convert to fraction form
    11,720.50/16,174.29 = 8,738.89/x
  3. Step 3: Cross multiply
    11,720.50x = 16,174.29 × 8,738.89
  4. Step 4: Simplify right side
    11,720.50x = 141,345,341.14
  5. Step 5: Solve for x
    x = 141,345,341.14/11,720.50
  6. Step 6: Final answer
    x = 12,059.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.