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Finding the Fourth Proportional to 12,211.39, 16,852.06 and 6,907.02

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Solution

The fourth proportional to 12,211.39, 16,852.06 and 6,907.02 is: 9,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.39 : 16,852.06 = 6,907.02 : x
  2. Step 2: Convert to fraction form
    12,211.39/16,852.06 = 6,907.02/x
  3. Step 3: Cross multiply
    12,211.39x = 16,852.06 × 6,907.02
  4. Step 4: Simplify right side
    12,211.39x = 116,397,515.46
  5. Step 5: Solve for x
    x = 116,397,515.46/12,211.39
  6. Step 6: Final answer
    x = 9,531.88

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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.