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Finding the Fourth Proportional to 8,118.50, 11,203.59 and 4,763.30

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Solution

The fourth proportional to 8,118.50, 11,203.59 and 4,763.30 is: 6,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.50 : 11,203.59 = 4,763.30 : x
  2. Step 2: Convert to fraction form
    8,118.50/11,203.59 = 4,763.30/x
  3. Step 3: Cross multiply
    8,118.50x = 11,203.59 × 4,763.30
  4. Step 4: Simplify right side
    8,118.50x = 53,366,004.23
  5. Step 5: Solve for x
    x = 53,366,004.23/8,118.50
  6. Step 6: Final answer
    x = 6,573.39

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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.