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Finding the Fourth Proportional to 11,751.18, 16,216.52 and 6,446

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Solution

The fourth proportional to 11,751.18, 16,216.52 and 6,446 is: 8,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.18 : 16,216.52 = 6,446 : x
  2. Step 2: Convert to fraction form
    11,751.18/16,216.52 = 6,446/x
  3. Step 3: Cross multiply
    11,751.18x = 16,216.52 × 6,446
  4. Step 4: Simplify right side
    11,751.18x = 104,531,687.92
  5. Step 5: Solve for x
    x = 104,531,687.92/11,751.18
  6. Step 6: Final answer
    x = 8,895.42

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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.