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Finding the Fourth Proportional to 10,769.00, 14,861.30 and 5,989.01

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Solution

The fourth proportional to 10,769.00, 14,861.30 and 5,989.01 is: 8,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.00 : 14,861.30 = 5,989.01 : x
  2. Step 2: Convert to fraction form
    10,769.00/14,861.30 = 5,989.01/x
  3. Step 3: Cross multiply
    10,769.00x = 14,861.30 × 5,989.01
  4. Step 4: Simplify right side
    10,769.00x = 89,004,370.06
  5. Step 5: Solve for x
    x = 89,004,370.06/10,769.00
  6. Step 6: Final answer
    x = 8,264.87

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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.