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Finding the Fourth Proportional to 7,849.81, 11,771.02 and 2,301.72

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Solution

The fourth proportional to 7,849.81, 11,771.02 and 2,301.72 is: 3,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.81 : 11,771.02 = 2,301.72 : x
  2. Step 2: Convert to fraction form
    7,849.81/11,771.02 = 2,301.72/x
  3. Step 3: Cross multiply
    7,849.81x = 11,771.02 × 2,301.72
  4. Step 4: Simplify right side
    7,849.81x = 27,093,550.89
  5. Step 5: Solve for x
    x = 27,093,550.89/7,849.81
  6. Step 6: Final answer
    x = 3,451.49

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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.