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Finding the Fourth Proportional to 7,907.72, 11,861.46 and 2,361.08

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Solution

The fourth proportional to 7,907.72, 11,861.46 and 2,361.08 is: 3,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.72 : 11,861.46 = 2,361.08 : x
  2. Step 2: Convert to fraction form
    7,907.72/11,861.46 = 2,361.08/x
  3. Step 3: Cross multiply
    7,907.72x = 11,861.46 × 2,361.08
  4. Step 4: Simplify right side
    7,907.72x = 28,005,855.98
  5. Step 5: Solve for x
    x = 28,005,855.98/7,907.72
  6. Step 6: Final answer
    x = 3,541.58

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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.