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Finding the Fourth Proportional to 6,930.78, 10,396.89 and 2,548.32

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Solution

The fourth proportional to 6,930.78, 10,396.89 and 2,548.32 is: 3,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.78 : 10,396.89 = 2,548.32 : x
  2. Step 2: Convert to fraction form
    6,930.78/10,396.89 = 2,548.32/x
  3. Step 3: Cross multiply
    6,930.78x = 10,396.89 × 2,548.32
  4. Step 4: Simplify right side
    6,930.78x = 26,494,602.72
  5. Step 5: Solve for x
    x = 26,494,602.72/6,930.78
  6. Step 6: Final answer
    x = 3,822.74

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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.