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Finding the Fourth Proportional to 7,977.56, 11,966.22 and 2,505.56

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Solution

The fourth proportional to 7,977.56, 11,966.22 and 2,505.56 is: 3,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.56 : 11,966.22 = 2,505.56 : x
  2. Step 2: Convert to fraction form
    7,977.56/11,966.22 = 2,505.56/x
  3. Step 3: Cross multiply
    7,977.56x = 11,966.22 × 2,505.56
  4. Step 4: Simplify right side
    7,977.56x = 29,982,082.18
  5. Step 5: Solve for x
    x = 29,982,082.18/7,977.56
  6. Step 6: Final answer
    x = 3,758.30

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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.