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Finding the Fourth Proportional to 10,367.54, 14,307.22 and 5,651.72

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Solution

The fourth proportional to 10,367.54, 14,307.22 and 5,651.72 is: 7,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.54 : 14,307.22 = 5,651.72 : x
  2. Step 2: Convert to fraction form
    10,367.54/14,307.22 = 5,651.72/x
  3. Step 3: Cross multiply
    10,367.54x = 14,307.22 × 5,651.72
  4. Step 4: Simplify right side
    10,367.54x = 80,860,401.42
  5. Step 5: Solve for x
    x = 80,860,401.42/10,367.54
  6. Step 6: Final answer
    x = 7,799.38

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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.