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Finding the Fourth Proportional to 7,724.90, 10,654.02 and 4,738.64

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Solution

The fourth proportional to 7,724.90, 10,654.02 and 4,738.64 is: 6,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.90 : 10,654.02 = 4,738.64 : x
  2. Step 2: Convert to fraction form
    7,724.90/10,654.02 = 4,738.64/x
  3. Step 3: Cross multiply
    7,724.90x = 10,654.02 × 4,738.64
  4. Step 4: Simplify right side
    7,724.90x = 50,485,512.06
  5. Step 5: Solve for x
    x = 50,485,512.06/7,724.90
  6. Step 6: Final answer
    x = 6,535.42

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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.