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Finding the Fourth Proportional to 7,773.94, 11,660.91 and 2,840.89

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Solution

The fourth proportional to 7,773.94, 11,660.91 and 2,840.89 is: 4,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.94 : 11,660.91 = 2,840.89 : x
  2. Step 2: Convert to fraction form
    7,773.94/11,660.91 = 2,840.89/x
  3. Step 3: Cross multiply
    7,773.94x = 11,660.91 × 2,840.89
  4. Step 4: Simplify right side
    7,773.94x = 33,127,319.25
  5. Step 5: Solve for x
    x = 33,127,319.25/7,773.94
  6. Step 6: Final answer
    x = 4,261.33

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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.