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Finding the Fourth Proportional to 11,847.87, 17,777.79 and 6,583.05

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Solution

The fourth proportional to 11,847.87, 17,777.79 and 6,583.05 is: 9,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.87 : 17,777.79 = 6,583.05 : x
  2. Step 2: Convert to fraction form
    11,847.87/17,777.79 = 6,583.05/x
  3. Step 3: Cross multiply
    11,847.87x = 17,777.79 × 6,583.05
  4. Step 4: Simplify right side
    11,847.87x = 117,032,080.46
  5. Step 5: Solve for x
    x = 117,032,080.46/11,847.87
  6. Step 6: Final answer
    x = 9,877.90

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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.