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Finding the Fourth Proportional to 7,069.68, 10,604.44 and 4,166.44

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Solution

The fourth proportional to 7,069.68, 10,604.44 and 4,166.44 is: 6,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.68 : 10,604.44 = 4,166.44 : x
  2. Step 2: Convert to fraction form
    7,069.68/10,604.44 = 4,166.44/x
  3. Step 3: Cross multiply
    7,069.68x = 10,604.44 × 4,166.44
  4. Step 4: Simplify right side
    7,069.68x = 44,182,762.99
  5. Step 5: Solve for x
    x = 44,182,762.99/7,069.68
  6. Step 6: Final answer
    x = 6,249.61

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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.