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Finding the Fourth Proportional to 7,325.88, 10,982.24 and 2,642.64

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Solution

The fourth proportional to 7,325.88, 10,982.24 and 2,642.64 is: 3,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.88 : 10,982.24 = 2,642.64 : x
  2. Step 2: Convert to fraction form
    7,325.88/10,982.24 = 2,642.64/x
  3. Step 3: Cross multiply
    7,325.88x = 10,982.24 × 2,642.64
  4. Step 4: Simplify right side
    7,325.88x = 29,022,106.71
  5. Step 5: Solve for x
    x = 29,022,106.71/7,325.88
  6. Step 6: Final answer
    x = 3,961.59

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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.