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Finding the Fourth Proportional to 7,675.57, 11,517 and 3,977.11

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Solution

The fourth proportional to 7,675.57, 11,517 and 3,977.11 is: 5,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.57 : 11,517 = 3,977.11 : x
  2. Step 2: Convert to fraction form
    7,675.57/11,517 = 3,977.11/x
  3. Step 3: Cross multiply
    7,675.57x = 11,517 × 3,977.11
  4. Step 4: Simplify right side
    7,675.57x = 45,804,375.87
  5. Step 5: Solve for x
    x = 45,804,375.87/7,675.57
  6. Step 6: Final answer
    x = 5,967.55

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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.