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Finding the Fourth Proportional to 12,090.38, 16,684.78 and 6,785.48

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Solution

The fourth proportional to 12,090.38, 16,684.78 and 6,785.48 is: 9,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.38 : 16,684.78 = 6,785.48 : x
  2. Step 2: Convert to fraction form
    12,090.38/16,684.78 = 6,785.48/x
  3. Step 3: Cross multiply
    12,090.38x = 16,684.78 × 6,785.48
  4. Step 4: Simplify right side
    12,090.38x = 113,214,240.99
  5. Step 5: Solve for x
    x = 113,214,240.99/12,090.38
  6. Step 6: Final answer
    x = 9,363.99

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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.