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Finding the Fourth Proportional to 12,255.39, 16,912.22 and 6,877.95

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Solution

The fourth proportional to 12,255.39, 16,912.22 and 6,877.95 is: 9,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.39 : 16,912.22 = 6,877.95 : x
  2. Step 2: Convert to fraction form
    12,255.39/16,912.22 = 6,877.95/x
  3. Step 3: Cross multiply
    12,255.39x = 16,912.22 × 6,877.95
  4. Step 4: Simplify right side
    12,255.39x = 116,321,420.74
  5. Step 5: Solve for x
    x = 116,321,420.74/12,255.39
  6. Step 6: Final answer
    x = 9,491.45

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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.