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Finding the Fourth Proportional to 7,642.45, 11,461.44 and 2,961.41

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Solution

The fourth proportional to 7,642.45, 11,461.44 and 2,961.41 is: 4,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.45 : 11,461.44 = 2,961.41 : x
  2. Step 2: Convert to fraction form
    7,642.45/11,461.44 = 2,961.41/x
  3. Step 3: Cross multiply
    7,642.45x = 11,461.44 × 2,961.41
  4. Step 4: Simplify right side
    7,642.45x = 33,942,024.64
  5. Step 5: Solve for x
    x = 33,942,024.64/7,642.45
  6. Step 6: Final answer
    x = 4,441.25

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