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Finding the Fourth Proportional to 11,297.75, 16,952.54 and 8,203.32

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Solution

The fourth proportional to 11,297.75, 16,952.54 and 8,203.32 is: 12,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.75 : 16,952.54 = 8,203.32 : x
  2. Step 2: Convert to fraction form
    11,297.75/16,952.54 = 8,203.32/x
  3. Step 3: Cross multiply
    11,297.75x = 16,952.54 × 8,203.32
  4. Step 4: Simplify right side
    11,297.75x = 139,066,984.65
  5. Step 5: Solve for x
    x = 139,066,984.65/11,297.75
  6. Step 6: Final answer
    x = 12,309.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.