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Finding the Fourth Proportional to 12,166.75, 16,792.56 and 6,861.67

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Solution

The fourth proportional to 12,166.75, 16,792.56 and 6,861.67 is: 9,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.75 : 16,792.56 = 6,861.67 : x
  2. Step 2: Convert to fraction form
    12,166.75/16,792.56 = 6,861.67/x
  3. Step 3: Cross multiply
    12,166.75x = 16,792.56 × 6,861.67
  4. Step 4: Simplify right side
    12,166.75x = 115,225,005.18
  5. Step 5: Solve for x
    x = 115,225,005.18/12,166.75
  6. Step 6: Final answer
    x = 9,470.48

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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.