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Finding the Fourth Proportional to 7,310.76, 10,965.00 and 2,380.37

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Solution

The fourth proportional to 7,310.76, 10,965.00 and 2,380.37 is: 3,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.76 : 10,965.00 = 2,380.37 : x
  2. Step 2: Convert to fraction form
    7,310.76/10,965.00 = 2,380.37/x
  3. Step 3: Cross multiply
    7,310.76x = 10,965.00 × 2,380.37
  4. Step 4: Simplify right side
    7,310.76x = 26,100,690.32
  5. Step 5: Solve for x
    x = 26,100,690.32/7,310.76
  6. Step 6: Final answer
    x = 3,570.17

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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.