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Finding the Fourth Proportional to 11,818.38, 16,308.74 and 6,512.20

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Solution

The fourth proportional to 11,818.38, 16,308.74 and 6,512.20 is: 8,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.38 : 16,308.74 = 6,512.20 : x
  2. Step 2: Convert to fraction form
    11,818.38/16,308.74 = 6,512.20/x
  3. Step 3: Cross multiply
    11,818.38x = 16,308.74 × 6,512.20
  4. Step 4: Simplify right side
    11,818.38x = 106,205,776.63
  5. Step 5: Solve for x
    x = 106,205,776.63/11,818.38
  6. Step 6: Final answer
    x = 8,986.49

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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.