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Finding the Fourth Proportional to 7,223.52, 10,835.20 and 2,293.52

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Solution

The fourth proportional to 7,223.52, 10,835.20 and 2,293.52 is: 3,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.52 : 10,835.20 = 2,293.52 : x
  2. Step 2: Convert to fraction form
    7,223.52/10,835.20 = 2,293.52/x
  3. Step 3: Cross multiply
    7,223.52x = 10,835.20 × 2,293.52
  4. Step 4: Simplify right side
    7,223.52x = 24,850,747.90
  5. Step 5: Solve for x
    x = 24,850,747.90/7,223.52
  6. Step 6: Final answer
    x = 3,440.25

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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.