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Finding the Fourth Proportional to 12,876.57, 17,770.06 and 7,211.30

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Solution

The fourth proportional to 12,876.57, 17,770.06 and 7,211.30 is: 9,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.57 : 17,770.06 = 7,211.30 : x
  2. Step 2: Convert to fraction form
    12,876.57/17,770.06 = 7,211.30/x
  3. Step 3: Cross multiply
    12,876.57x = 17,770.06 × 7,211.30
  4. Step 4: Simplify right side
    12,876.57x = 128,145,283.49
  5. Step 5: Solve for x
    x = 128,145,283.49/12,876.57
  6. Step 6: Final answer
    x = 9,951.82

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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.