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Finding the Fourth Proportional to 7,889.59, 11,831.95 and 2,694.25

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Solution

The fourth proportional to 7,889.59, 11,831.95 and 2,694.25 is: 4,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.59 : 11,831.95 = 2,694.25 : x
  2. Step 2: Convert to fraction form
    7,889.59/11,831.95 = 2,694.25/x
  3. Step 3: Cross multiply
    7,889.59x = 11,831.95 × 2,694.25
  4. Step 4: Simplify right side
    7,889.59x = 31,878,231.29
  5. Step 5: Solve for x
    x = 31,878,231.29/7,889.59
  6. Step 6: Final answer
    x = 4,040.54

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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.