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Finding the Fourth Proportional to 12,211.75, 16,852.59 and 6,906.45

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Solution

The fourth proportional to 12,211.75, 16,852.59 and 6,906.45 is: 9,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.75 : 16,852.59 = 6,906.45 : x
  2. Step 2: Convert to fraction form
    12,211.75/16,852.59 = 6,906.45/x
  3. Step 3: Cross multiply
    12,211.75x = 16,852.59 × 6,906.45
  4. Step 4: Simplify right side
    12,211.75x = 116,391,535.67
  5. Step 5: Solve for x
    x = 116,391,535.67/12,211.75
  6. Step 6: Final answer
    x = 9,531.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.