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Finding the Fourth Proportional to 7,699.20, 11,548.80 and 3,082.20

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Solution

The fourth proportional to 7,699.20, 11,548.80 and 3,082.20 is: 4,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.20 : 11,548.80 = 3,082.20 : x
  2. Step 2: Convert to fraction form
    7,699.20/11,548.80 = 3,082.20/x
  3. Step 3: Cross multiply
    7,699.20x = 11,548.80 × 3,082.20
  4. Step 4: Simplify right side
    7,699.20x = 35,595,711.36
  5. Step 5: Solve for x
    x = 35,595,711.36/7,699.20
  6. Step 6: Final answer
    x = 4,623.30

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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.