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Finding the Fourth Proportional to 8,340.25, 11,509.49 and 4,563.34

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Solution

The fourth proportional to 8,340.25, 11,509.49 and 4,563.34 is: 6,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.25 : 11,509.49 = 4,563.34 : x
  2. Step 2: Convert to fraction form
    8,340.25/11,509.49 = 4,563.34/x
  3. Step 3: Cross multiply
    8,340.25x = 11,509.49 × 4,563.34
  4. Step 4: Simplify right side
    8,340.25x = 52,521,698.73
  5. Step 5: Solve for x
    x = 52,521,698.73/8,340.25
  6. Step 6: Final answer
    x = 6,297.38

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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.