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Finding the Fourth Proportional to 10,806.98, 16,203.98 and 4,225.32

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Solution

The fourth proportional to 10,806.98, 16,203.98 and 4,225.32 is: 6,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.98 : 16,203.98 = 4,225.32 : x
  2. Step 2: Convert to fraction form
    10,806.98/16,203.98 = 4,225.32/x
  3. Step 3: Cross multiply
    10,806.98x = 16,203.98 × 4,225.32
  4. Step 4: Simplify right side
    10,806.98x = 68,466,979.65
  5. Step 5: Solve for x
    x = 68,466,979.65/10,806.98
  6. Step 6: Final answer
    x = 6,335.44

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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.