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Finding the Fourth Proportional to 7,225.50, 10,838.79 and 4,104.30

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Solution

The fourth proportional to 7,225.50, 10,838.79 and 4,104.30 is: 6,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.50 : 10,838.79 = 4,104.30 : x
  2. Step 2: Convert to fraction form
    7,225.50/10,838.79 = 4,104.30/x
  3. Step 3: Cross multiply
    7,225.50x = 10,838.79 × 4,104.30
  4. Step 4: Simplify right side
    7,225.50x = 44,485,645.80
  5. Step 5: Solve for x
    x = 44,485,645.80/7,225.50
  6. Step 6: Final answer
    x = 6,156.76

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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.