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Finding the Fourth Proportional to 6,920.40, 10,388.80 and 5,460.56

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Solution

The fourth proportional to 6,920.40, 10,388.80 and 5,460.56 is: 8,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.40 : 10,388.80 = 5,460.56 : x
  2. Step 2: Convert to fraction form
    6,920.40/10,388.80 = 5,460.56/x
  3. Step 3: Cross multiply
    6,920.40x = 10,388.80 × 5,460.56
  4. Step 4: Simplify right side
    6,920.40x = 56,728,665.73
  5. Step 5: Solve for x
    x = 56,728,665.73/6,920.40
  6. Step 6: Final answer
    x = 8,197.31

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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.