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Finding the Fourth Proportional to 6,930.80, 10,400.76 and 2,548.30

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Solution

The fourth proportional to 6,930.80, 10,400.76 and 2,548.30 is: 3,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.80 : 10,400.76 = 2,548.30 : x
  2. Step 2: Convert to fraction form
    6,930.80/10,400.76 = 2,548.30/x
  3. Step 3: Cross multiply
    6,930.80x = 10,400.76 × 2,548.30
  4. Step 4: Simplify right side
    6,930.80x = 26,504,256.71
  5. Step 5: Solve for x
    x = 26,504,256.71/6,930.80
  6. Step 6: Final answer
    x = 3,824.13

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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.