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Finding the Fourth Proportional to 7,162.78, 10,738.50 and 3,265.06

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Solution

The fourth proportional to 7,162.78, 10,738.50 and 3,265.06 is: 4,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.78 : 10,738.50 = 3,265.06 : x
  2. Step 2: Convert to fraction form
    7,162.78/10,738.50 = 3,265.06/x
  3. Step 3: Cross multiply
    7,162.78x = 10,738.50 × 3,265.06
  4. Step 4: Simplify right side
    7,162.78x = 35,061,846.81
  5. Step 5: Solve for x
    x = 35,061,846.81/7,162.78
  6. Step 6: Final answer
    x = 4,895.01

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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.