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Finding the Fourth Proportional to 6,951.60, 10,427.94 and 2,021.32

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Solution

The fourth proportional to 6,951.60, 10,427.94 and 2,021.32 is: 3,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.60 : 10,427.94 = 2,021.32 : x
  2. Step 2: Convert to fraction form
    6,951.60/10,427.94 = 2,021.32/x
  3. Step 3: Cross multiply
    6,951.60x = 10,427.94 × 2,021.32
  4. Step 4: Simplify right side
    6,951.60x = 21,078,203.68
  5. Step 5: Solve for x
    x = 21,078,203.68/6,951.60
  6. Step 6: Final answer
    x = 3,032.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.