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Finding the Fourth Proportional to 10,367.45, 14,307.08 and 5,651.73

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Solution

The fourth proportional to 10,367.45, 14,307.08 and 5,651.73 is: 7,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.45 : 14,307.08 = 5,651.73 : x
  2. Step 2: Convert to fraction form
    10,367.45/14,307.08 = 5,651.73/x
  3. Step 3: Cross multiply
    10,367.45x = 14,307.08 × 5,651.73
  4. Step 4: Simplify right side
    10,367.45x = 80,859,724.99
  5. Step 5: Solve for x
    x = 80,859,724.99/10,367.45
  6. Step 6: Final answer
    x = 7,799.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.