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Finding the Fourth Proportional to 8,284, 11,431.96 and 4,558

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Solution

The fourth proportional to 8,284, 11,431.96 and 4,558 is: 6,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 11,431.96 = 4,558 : x
  2. Step 2: Convert to fraction form
    8,284/11,431.96 = 4,558/x
  3. Step 3: Cross multiply
    8,284x = 11,431.96 × 4,558
  4. Step 4: Simplify right side
    8,284x = 52,106,873.68
  5. Step 5: Solve for x
    x = 52,106,873.68/8,284
  6. Step 6: Final answer
    x = 6,290.06

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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.