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Finding the Fourth Proportional to 8,203.12, 11,320.32 and 4,477.12

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Solution

The fourth proportional to 8,203.12, 11,320.32 and 4,477.12 is: 6,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.12 : 11,320.32 = 4,477.12 : x
  2. Step 2: Convert to fraction form
    8,203.12/11,320.32 = 4,477.12/x
  3. Step 3: Cross multiply
    8,203.12x = 11,320.32 × 4,477.12
  4. Step 4: Simplify right side
    8,203.12x = 50,682,431.08
  5. Step 5: Solve for x
    x = 50,682,431.08/8,203.12
  6. Step 6: Final answer
    x = 6,178.43

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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.