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Finding the Fourth Proportional to 11,850.68, 17,787.18 and 6,011.48

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Solution

The fourth proportional to 11,850.68, 17,787.18 and 6,011.48 is: 9,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.68 : 17,787.18 = 6,011.48 : x
  2. Step 2: Convert to fraction form
    11,850.68/17,787.18 = 6,011.48/x
  3. Step 3: Cross multiply
    11,850.68x = 17,787.18 × 6,011.48
  4. Step 4: Simplify right side
    11,850.68x = 106,927,276.83
  5. Step 5: Solve for x
    x = 106,927,276.83/11,850.68
  6. Step 6: Final answer
    x = 9,022.88

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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.