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Finding the Fourth Proportional to 7,907.96, 11,863.22 and 2,977.98

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Solution

The fourth proportional to 7,907.96, 11,863.22 and 2,977.98 is: 4,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.96 : 11,863.22 = 2,977.98 : x
  2. Step 2: Convert to fraction form
    7,907.96/11,863.22 = 2,977.98/x
  3. Step 3: Cross multiply
    7,907.96x = 11,863.22 × 2,977.98
  4. Step 4: Simplify right side
    7,907.96x = 35,328,431.90
  5. Step 5: Solve for x
    x = 35,328,431.90/7,907.96
  6. Step 6: Final answer
    x = 4,467.45

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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.