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Finding the Fourth Proportional to 11,977.56, 17,969.58 and 6,787.08

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Solution

The fourth proportional to 11,977.56, 17,969.58 and 6,787.08 is: 10,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.56 : 17,969.58 = 6,787.08 : x
  2. Step 2: Convert to fraction form
    11,977.56/17,969.58 = 6,787.08/x
  3. Step 3: Cross multiply
    11,977.56x = 17,969.58 × 6,787.08
  4. Step 4: Simplify right side
    11,977.56x = 121,960,977.03
  5. Step 5: Solve for x
    x = 121,960,977.03/11,977.56
  6. Step 6: Final answer
    x = 10,182.46

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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.