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Finding the Fourth Proportional to 10,861.67, 14,990.70 and 6,883.14

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Solution

The fourth proportional to 10,861.67, 14,990.70 and 6,883.14 is: 9,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.67 : 14,990.70 = 6,883.14 : x
  2. Step 2: Convert to fraction form
    10,861.67/14,990.70 = 6,883.14/x
  3. Step 3: Cross multiply
    10,861.67x = 14,990.70 × 6,883.14
  4. Step 4: Simplify right side
    10,861.67x = 103,183,086.80
  5. Step 5: Solve for x
    x = 103,183,086.80/10,861.67
  6. Step 6: Final answer
    x = 9,499.75

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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.