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Finding the Fourth Proportional to 7,223.50, 10,836.78 and 2,293.51

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Solution

The fourth proportional to 7,223.50, 10,836.78 and 2,293.51 is: 3,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.50 : 10,836.78 = 2,293.51 : x
  2. Step 2: Convert to fraction form
    7,223.50/10,836.78 = 2,293.51/x
  3. Step 3: Cross multiply
    7,223.50x = 10,836.78 × 2,293.51
  4. Step 4: Simplify right side
    7,223.50x = 24,854,263.30
  5. Step 5: Solve for x
    x = 24,854,263.30/7,223.50
  6. Step 6: Final answer
    x = 3,440.75

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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.