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Finding the Fourth Proportional to 11,710.44, 17,548.48 and 6,961.92

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Solution

The fourth proportional to 11,710.44, 17,548.48 and 6,961.92 is: 10,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.44 : 17,548.48 = 6,961.92 : x
  2. Step 2: Convert to fraction form
    11,710.44/17,548.48 = 6,961.92/x
  3. Step 3: Cross multiply
    11,710.44x = 17,548.48 × 6,961.92
  4. Step 4: Simplify right side
    11,710.44x = 122,171,113.88
  5. Step 5: Solve for x
    x = 122,171,113.88/11,710.44
  6. Step 6: Final answer
    x = 10,432.67

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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.