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Finding the Fourth Proportional to 10,751.77, 16,120.77 and 4,170.94

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Solution

The fourth proportional to 10,751.77, 16,120.77 and 4,170.94 is: 6,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.77 : 16,120.77 = 4,170.94 : x
  2. Step 2: Convert to fraction form
    10,751.77/16,120.77 = 4,170.94/x
  3. Step 3: Cross multiply
    10,751.77x = 16,120.77 × 4,170.94
  4. Step 4: Simplify right side
    10,751.77x = 67,238,764.42
  5. Step 5: Solve for x
    x = 67,238,764.42/10,751.77
  6. Step 6: Final answer
    x = 6,253.74

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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.