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Finding the Fourth Proportional to 7,223.89, 10,835.80 and 2,293.42

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Solution

The fourth proportional to 7,223.89, 10,835.80 and 2,293.42 is: 3,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.89 : 10,835.80 = 2,293.42 : x
  2. Step 2: Convert to fraction form
    7,223.89/10,835.80 = 2,293.42/x
  3. Step 3: Cross multiply
    7,223.89x = 10,835.80 × 2,293.42
  4. Step 4: Simplify right side
    7,223.89x = 24,851,040.44
  5. Step 5: Solve for x
    x = 24,851,040.44/7,223.89
  6. Step 6: Final answer
    x = 3,440.12

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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.