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Finding the Fourth Proportional to 7,953.67, 10,984.23 and 5,961.07

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Solution

The fourth proportional to 7,953.67, 10,984.23 and 5,961.07 is: 8,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.67 : 10,984.23 = 5,961.07 : x
  2. Step 2: Convert to fraction form
    7,953.67/10,984.23 = 5,961.07/x
  3. Step 3: Cross multiply
    7,953.67x = 10,984.23 × 5,961.07
  4. Step 4: Simplify right side
    7,953.67x = 65,477,679.20
  5. Step 5: Solve for x
    x = 65,477,679.20/7,953.67
  6. Step 6: Final answer
    x = 8,232.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.