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Finding the Fourth Proportional to 8,738.46, 12,059.19 and 4,961.34

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Solution

The fourth proportional to 8,738.46, 12,059.19 and 4,961.34 is: 6,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.46 : 12,059.19 = 4,961.34 : x
  2. Step 2: Convert to fraction form
    8,738.46/12,059.19 = 4,961.34/x
  3. Step 3: Cross multiply
    8,738.46x = 12,059.19 × 4,961.34
  4. Step 4: Simplify right side
    8,738.46x = 59,829,741.71
  5. Step 5: Solve for x
    x = 59,829,741.71/8,738.46
  6. Step 6: Final answer
    x = 6,846.71

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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.