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Finding the Fourth Proportional to 7,077.78, 10,604.52 and 6,460.56

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Solution

The fourth proportional to 7,077.78, 10,604.52 and 6,460.56 is: 9,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.78 : 10,604.52 = 6,460.56 : x
  2. Step 2: Convert to fraction form
    7,077.78/10,604.52 = 6,460.56/x
  3. Step 3: Cross multiply
    7,077.78x = 10,604.52 × 6,460.56
  4. Step 4: Simplify right side
    7,077.78x = 68,511,137.73
  5. Step 5: Solve for x
    x = 68,511,137.73/7,077.78
  6. Step 6: Final answer
    x = 9,679.75

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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.