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Finding the Fourth Proportional to 6,977.67, 10,450.09 and 5,506.98

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Solution

The fourth proportional to 6,977.67, 10,450.09 and 5,506.98 is: 8,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.67 : 10,450.09 = 5,506.98 : x
  2. Step 2: Convert to fraction form
    6,977.67/10,450.09 = 5,506.98/x
  3. Step 3: Cross multiply
    6,977.67x = 10,450.09 × 5,506.98
  4. Step 4: Simplify right side
    6,977.67x = 57,548,436.63
  5. Step 5: Solve for x
    x = 57,548,436.63/6,977.67
  6. Step 6: Final answer
    x = 8,247.51

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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.