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Finding the Fourth Proportional to 7,769.64, 11,652.30 and 3,389.16

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Solution

The fourth proportional to 7,769.64, 11,652.30 and 3,389.16 is: 5,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.64 : 11,652.30 = 3,389.16 : x
  2. Step 2: Convert to fraction form
    7,769.64/11,652.30 = 3,389.16/x
  3. Step 3: Cross multiply
    7,769.64x = 11,652.30 × 3,389.16
  4. Step 4: Simplify right side
    7,769.64x = 39,491,509.07
  5. Step 5: Solve for x
    x = 39,491,509.07/7,769.64
  6. Step 6: Final answer
    x = 5,082.80

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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.