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Finding the Fourth Proportional to 7,571.41, 11,358.94 and 2,377.28

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Solution

The fourth proportional to 7,571.41, 11,358.94 and 2,377.28 is: 3,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.41 : 11,358.94 = 2,377.28 : x
  2. Step 2: Convert to fraction form
    7,571.41/11,358.94 = 2,377.28/x
  3. Step 3: Cross multiply
    7,571.41x = 11,358.94 × 2,377.28
  4. Step 4: Simplify right side
    7,571.41x = 27,003,380.88
  5. Step 5: Solve for x
    x = 27,003,380.88/7,571.41
  6. Step 6: Final answer
    x = 3,566.50

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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.