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Finding the Fourth Proportional to 12,211.14, 16,851.06 and 6,760.02

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Solution

The fourth proportional to 12,211.14, 16,851.06 and 6,760.02 is: 9,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.14 : 16,851.06 = 6,760.02 : x
  2. Step 2: Convert to fraction form
    12,211.14/16,851.06 = 6,760.02/x
  3. Step 3: Cross multiply
    12,211.14x = 16,851.06 × 6,760.02
  4. Step 4: Simplify right side
    12,211.14x = 113,913,502.62
  5. Step 5: Solve for x
    x = 113,913,502.62/12,211.14
  6. Step 6: Final answer
    x = 9,328.65

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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.