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Finding the Fourth Proportional to 7,272.98, 10,914.89 and 2,831.34

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Solution

The fourth proportional to 7,272.98, 10,914.89 and 2,831.34 is: 4,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.98 : 10,914.89 = 2,831.34 : x
  2. Step 2: Convert to fraction form
    7,272.98/10,914.89 = 2,831.34/x
  3. Step 3: Cross multiply
    7,272.98x = 10,914.89 × 2,831.34
  4. Step 4: Simplify right side
    7,272.98x = 30,903,750.50
  5. Step 5: Solve for x
    x = 30,903,750.50/7,272.98
  6. Step 6: Final answer
    x = 4,249.12

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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.