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Finding the Fourth Proportional to 8,297, 11,449.86 and 4,571.08

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Solution

The fourth proportional to 8,297, 11,449.86 and 4,571.08 is: 6,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297 : 11,449.86 = 4,571.08 : x
  2. Step 2: Convert to fraction form
    8,297/11,449.86 = 4,571.08/x
  3. Step 3: Cross multiply
    8,297x = 11,449.86 × 4,571.08
  4. Step 4: Simplify right side
    8,297x = 52,338,226.05
  5. Step 5: Solve for x
    x = 52,338,226.05/8,297
  6. Step 6: Final answer
    x = 6,308.09

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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.