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Finding the Fourth Proportional to 7,773.06, 11,659.50 and 2,840.94

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Solution

The fourth proportional to 7,773.06, 11,659.50 and 2,840.94 is: 4,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.06 : 11,659.50 = 2,840.94 : x
  2. Step 2: Convert to fraction form
    7,773.06/11,659.50 = 2,840.94/x
  3. Step 3: Cross multiply
    7,773.06x = 11,659.50 × 2,840.94
  4. Step 4: Simplify right side
    7,773.06x = 33,123,939.93
  5. Step 5: Solve for x
    x = 33,123,939.93/7,773.06
  6. Step 6: Final answer
    x = 4,261.38

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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.