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Finding the Fourth Proportional to 7,640.31, 11,460.32 and 2,708.78

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Solution

The fourth proportional to 7,640.31, 11,460.32 and 2,708.78 is: 4,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.31 : 11,460.32 = 2,708.78 : x
  2. Step 2: Convert to fraction form
    7,640.31/11,460.32 = 2,708.78/x
  3. Step 3: Cross multiply
    7,640.31x = 11,460.32 × 2,708.78
  4. Step 4: Simplify right side
    7,640.31x = 31,043,485.61
  5. Step 5: Solve for x
    x = 31,043,485.61/7,640.31
  6. Step 6: Final answer
    x = 4,063.12

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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.