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Finding the Fourth Proportional to 7,647.87, 10,560.29 and 6,231.77

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Solution

The fourth proportional to 7,647.87, 10,560.29 and 6,231.77 is: 8,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.87 : 10,560.29 = 6,231.77 : x
  2. Step 2: Convert to fraction form
    7,647.87/10,560.29 = 6,231.77/x
  3. Step 3: Cross multiply
    7,647.87x = 10,560.29 × 6,231.77
  4. Step 4: Simplify right side
    7,647.87x = 65,809,214.45
  5. Step 5: Solve for x
    x = 65,809,214.45/7,647.87
  6. Step 6: Final answer
    x = 8,604.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.