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Finding the Fourth Proportional to 7,299.86, 10,074.38 and 4,467.83

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Solution

The fourth proportional to 7,299.86, 10,074.38 and 4,467.83 is: 6,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.86 : 10,074.38 = 4,467.83 : x
  2. Step 2: Convert to fraction form
    7,299.86/10,074.38 = 4,467.83/x
  3. Step 3: Cross multiply
    7,299.86x = 10,074.38 × 4,467.83
  4. Step 4: Simplify right side
    7,299.86x = 45,010,544.48
  5. Step 5: Solve for x
    x = 45,010,544.48/7,299.86
  6. Step 6: Final answer
    x = 6,165.95

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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.