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Finding the Fourth Proportional to 7,704.72, 11,555.06 and 2,773.44

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Solution

The fourth proportional to 7,704.72, 11,555.06 and 2,773.44 is: 4,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.72 : 11,555.06 = 2,773.44 : x
  2. Step 2: Convert to fraction form
    7,704.72/11,555.06 = 2,773.44/x
  3. Step 3: Cross multiply
    7,704.72x = 11,555.06 × 2,773.44
  4. Step 4: Simplify right side
    7,704.72x = 32,047,251.74
  5. Step 5: Solve for x
    x = 32,047,251.74/7,704.72
  6. Step 6: Final answer
    x = 4,159.43

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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.