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Finding the Fourth Proportional to 7,977.87, 11,967.24 and 2,431.40

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Solution

The fourth proportional to 7,977.87, 11,967.24 and 2,431.40 is: 3,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.87 : 11,967.24 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    7,977.87/11,967.24 = 2,431.40/x
  3. Step 3: Cross multiply
    7,977.87x = 11,967.24 × 2,431.40
  4. Step 4: Simplify right side
    7,977.87x = 29,097,087.50
  5. Step 5: Solve for x
    x = 29,097,087.50/7,977.87
  6. Step 6: Final answer
    x = 3,647.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.