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Finding the Fourth Proportional to 7,337.97, 11,009.79 and 3,828.69

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Solution

The fourth proportional to 7,337.97, 11,009.79 and 3,828.69 is: 5,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.97 : 11,009.79 = 3,828.69 : x
  2. Step 2: Convert to fraction form
    7,337.97/11,009.79 = 3,828.69/x
  3. Step 3: Cross multiply
    7,337.97x = 11,009.79 × 3,828.69
  4. Step 4: Simplify right side
    7,337.97x = 42,153,072.88
  5. Step 5: Solve for x
    x = 42,153,072.88/7,337.97
  6. Step 6: Final answer
    x = 5,744.51

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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.