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Finding the Fourth Proportional to 7,907.62, 11,861.34 and 2,643.94

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Solution

The fourth proportional to 7,907.62, 11,861.34 and 2,643.94 is: 3,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.62 : 11,861.34 = 2,643.94 : x
  2. Step 2: Convert to fraction form
    7,907.62/11,861.34 = 2,643.94/x
  3. Step 3: Cross multiply
    7,907.62x = 11,861.34 × 2,643.94
  4. Step 4: Simplify right side
    7,907.62x = 31,360,671.28
  5. Step 5: Solve for x
    x = 31,360,671.28/7,907.62
  6. Step 6: Final answer
    x = 3,965.88

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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.