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Finding the Fourth Proportional to 7,889.69, 11,833.38 and 2,342.00

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Solution

The fourth proportional to 7,889.69, 11,833.38 and 2,342.00 is: 3,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.69 : 11,833.38 = 2,342.00 : x
  2. Step 2: Convert to fraction form
    7,889.69/11,833.38 = 2,342.00/x
  3. Step 3: Cross multiply
    7,889.69x = 11,833.38 × 2,342.00
  4. Step 4: Simplify right side
    7,889.69x = 27,713,716.79
  5. Step 5: Solve for x
    x = 27,713,716.79/7,889.69
  6. Step 6: Final answer
    x = 3,512.65

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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.