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Finding the Fourth Proportional to 7,446.81, 11,172.81 and 4,958.00

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Solution

The fourth proportional to 7,446.81, 11,172.81 and 4,958.00 is: 7,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.81 : 11,172.81 = 4,958.00 : x
  2. Step 2: Convert to fraction form
    7,446.81/11,172.81 = 4,958.00/x
  3. Step 3: Cross multiply
    7,446.81x = 11,172.81 × 4,958.00
  4. Step 4: Simplify right side
    7,446.81x = 55,394,736.12
  5. Step 5: Solve for x
    x = 55,394,736.12/7,446.81
  6. Step 6: Final answer
    x = 7,438.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.