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Finding the Fourth Proportional to 11,765.10, 16,236.69 and 7,779.30

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Solution

The fourth proportional to 11,765.10, 16,236.69 and 7,779.30 is: 10,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.10 : 16,236.69 = 7,779.30 : x
  2. Step 2: Convert to fraction form
    11,765.10/16,236.69 = 7,779.30/x
  3. Step 3: Cross multiply
    11,765.10x = 16,236.69 × 7,779.30
  4. Step 4: Simplify right side
    11,765.10x = 126,310,082.52
  5. Step 5: Solve for x
    x = 126,310,082.52/11,765.10
  6. Step 6: Final answer
    x = 10,736.00

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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.