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Finding the Fourth Proportional to 12,800.64, 17,664.72 and 7,211.52

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Solution

The fourth proportional to 12,800.64, 17,664.72 and 7,211.52 is: 9,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.64 : 17,664.72 = 7,211.52 : x
  2. Step 2: Convert to fraction form
    12,800.64/17,664.72 = 7,211.52/x
  3. Step 3: Cross multiply
    12,800.64x = 17,664.72 × 7,211.52
  4. Step 4: Simplify right side
    12,800.64x = 127,389,481.57
  5. Step 5: Solve for x
    x = 127,389,481.57/12,800.64
  6. Step 6: Final answer
    x = 9,951.81

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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.