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Finding the Fourth Proportional to 7,705.42, 11,555.39 and 2,773.73

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Solution

The fourth proportional to 7,705.42, 11,555.39 and 2,773.73 is: 4,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.42 : 11,555.39 = 2,773.73 : x
  2. Step 2: Convert to fraction form
    7,705.42/11,555.39 = 2,773.73/x
  3. Step 3: Cross multiply
    7,705.42x = 11,555.39 × 2,773.73
  4. Step 4: Simplify right side
    7,705.42x = 32,051,567.73
  5. Step 5: Solve for x
    x = 32,051,567.73/7,705.42
  6. Step 6: Final answer
    x = 4,159.61

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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.