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Finding the Fourth Proportional to 8,240.91, 11,372.04 and 4,884

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Solution

The fourth proportional to 8,240.91, 11,372.04 and 4,884 is: 6,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.91 : 11,372.04 = 4,884 : x
  2. Step 2: Convert to fraction form
    8,240.91/11,372.04 = 4,884/x
  3. Step 3: Cross multiply
    8,240.91x = 11,372.04 × 4,884
  4. Step 4: Simplify right side
    8,240.91x = 55,541,043.36
  5. Step 5: Solve for x
    x = 55,541,043.36/8,240.91
  6. Step 6: Final answer
    x = 6,739.67

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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.