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Finding the Fourth Proportional to 12,188.10, 16,813.38 and 7,406.78

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Solution

The fourth proportional to 12,188.10, 16,813.38 and 7,406.78 is: 10,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.10 : 16,813.38 = 7,406.78 : x
  2. Step 2: Convert to fraction form
    12,188.10/16,813.38 = 7,406.78/x
  3. Step 3: Cross multiply
    12,188.10x = 16,813.38 × 7,406.78
  4. Step 4: Simplify right side
    12,188.10x = 124,532,922.65
  5. Step 5: Solve for x
    x = 124,532,922.65/12,188.10
  6. Step 6: Final answer
    x = 10,217.58

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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.