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Finding the Fourth Proportional to 8,438.34, 11,640.36 and 6,445.32

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Solution

The fourth proportional to 8,438.34, 11,640.36 and 6,445.32 is: 8,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.34 : 11,640.36 = 6,445.32 : x
  2. Step 2: Convert to fraction form
    8,438.34/11,640.36 = 6,445.32/x
  3. Step 3: Cross multiply
    8,438.34x = 11,640.36 × 6,445.32
  4. Step 4: Simplify right side
    8,438.34x = 75,025,845.12
  5. Step 5: Solve for x
    x = 75,025,845.12/8,438.34
  6. Step 6: Final answer
    x = 8,891.07

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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.