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Finding the Fourth Proportional to 27,937, 41,908.02 and 7,160.68

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Solution

The fourth proportional to 27,937, 41,908.02 and 7,160.68 is: 10,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937 : 41,908.02 = 7,160.68 : x
  2. Step 2: Convert to fraction form
    27,937/41,908.02 = 7,160.68/x
  3. Step 3: Cross multiply
    27,937x = 41,908.02 × 7,160.68
  4. Step 4: Simplify right side
    27,937x = 300,089,920.65
  5. Step 5: Solve for x
    x = 300,089,920.65/27,937
  6. Step 6: Final answer
    x = 10,741.67

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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.