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Finding the Fourth Proportional to 7,724.78, 10,664.15 and 4,895.11

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Solution

The fourth proportional to 7,724.78, 10,664.15 and 4,895.11 is: 6,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.78 : 10,664.15 = 4,895.11 : x
  2. Step 2: Convert to fraction form
    7,724.78/10,664.15 = 4,895.11/x
  3. Step 3: Cross multiply
    7,724.78x = 10,664.15 × 4,895.11
  4. Step 4: Simplify right side
    7,724.78x = 52,202,187.31
  5. Step 5: Solve for x
    x = 52,202,187.31/7,724.78
  6. Step 6: Final answer
    x = 6,757.76

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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.