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Finding the Fourth Proportional to 34,804.91, 52,208.19 and 8,509.88

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Solution

The fourth proportional to 34,804.91, 52,208.19 and 8,509.88 is: 12,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,804.91 : 52,208.19 = 8,509.88 : x
  2. Step 2: Convert to fraction form
    34,804.91/52,208.19 = 8,509.88/x
  3. Step 3: Cross multiply
    34,804.91x = 52,208.19 × 8,509.88
  4. Step 4: Simplify right side
    34,804.91x = 444,285,562.44
  5. Step 5: Solve for x
    x = 444,285,562.44/34,804.91
  6. Step 6: Final answer
    x = 12,765.02

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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.