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Finding the Fourth Proportional to 7,212.81, 10,812.80 and 2,833.32

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Solution

The fourth proportional to 7,212.81, 10,812.80 and 2,833.32 is: 4,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.81 : 10,812.80 = 2,833.32 : x
  2. Step 2: Convert to fraction form
    7,212.81/10,812.80 = 2,833.32/x
  3. Step 3: Cross multiply
    7,212.81x = 10,812.80 × 2,833.32
  4. Step 4: Simplify right side
    7,212.81x = 30,636,122.50
  5. Step 5: Solve for x
    x = 30,636,122.50/7,212.81
  6. Step 6: Final answer
    x = 4,247.46

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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.