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Finding the Fourth Proportional to 7,643.70, 11,446.97 and 5,297.00

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Solution

The fourth proportional to 7,643.70, 11,446.97 and 5,297.00 is: 7,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.70 : 11,446.97 = 5,297.00 : x
  2. Step 2: Convert to fraction form
    7,643.70/11,446.97 = 5,297.00/x
  3. Step 3: Cross multiply
    7,643.70x = 11,446.97 × 5,297.00
  4. Step 4: Simplify right side
    7,643.70x = 60,634,516.37
  5. Step 5: Solve for x
    x = 60,634,516.37/7,643.70
  6. Step 6: Final answer
    x = 7,932.61

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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.