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Finding the Fourth Proportional to 7,212.48, 10,814.94 and 3,313.50

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Solution

The fourth proportional to 7,212.48, 10,814.94 and 3,313.50 is: 4,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.48 : 10,814.94 = 3,313.50 : x
  2. Step 2: Convert to fraction form
    7,212.48/10,814.94 = 3,313.50/x
  3. Step 3: Cross multiply
    7,212.48x = 10,814.94 × 3,313.50
  4. Step 4: Simplify right side
    7,212.48x = 35,835,303.69
  5. Step 5: Solve for x
    x = 35,835,303.69/7,212.48
  6. Step 6: Final answer
    x = 4,968.51

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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.