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Finding the Fourth Proportional to 11,416.12, 17,128.07 and 6,151.67

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Solution

The fourth proportional to 11,416.12, 17,128.07 and 6,151.67 is: 9,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.12 : 17,128.07 = 6,151.67 : x
  2. Step 2: Convert to fraction form
    11,416.12/17,128.07 = 6,151.67/x
  3. Step 3: Cross multiply
    11,416.12x = 17,128.07 × 6,151.67
  4. Step 4: Simplify right side
    11,416.12x = 105,366,234.38
  5. Step 5: Solve for x
    x = 105,366,234.38/11,416.12
  6. Step 6: Final answer
    x = 9,229.60

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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.