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Finding the Fourth Proportional to 8,435.22, 11,639.07 and 5,925

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Solution

The fourth proportional to 8,435.22, 11,639.07 and 5,925 is: 8,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.22 : 11,639.07 = 5,925 : x
  2. Step 2: Convert to fraction form
    8,435.22/11,639.07 = 5,925/x
  3. Step 3: Cross multiply
    8,435.22x = 11,639.07 × 5,925
  4. Step 4: Simplify right side
    8,435.22x = 68,961,489.75
  5. Step 5: Solve for x
    x = 68,961,489.75/8,435.22
  6. Step 6: Final answer
    x = 8,175.42

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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.