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Finding the Fourth Proportional to 7,819.50, 11,726.39 and 2,271.35

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Solution

The fourth proportional to 7,819.50, 11,726.39 and 2,271.35 is: 3,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.50 : 11,726.39 = 2,271.35 : x
  2. Step 2: Convert to fraction form
    7,819.50/11,726.39 = 2,271.35/x
  3. Step 3: Cross multiply
    7,819.50x = 11,726.39 × 2,271.35
  4. Step 4: Simplify right side
    7,819.50x = 26,634,665.94
  5. Step 5: Solve for x
    x = 26,634,665.94/7,819.50
  6. Step 6: Final answer
    x = 3,406.19

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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.