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Finding the Fourth Proportional to 11,790.46, 16,270.57 and 6,485.16

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Solution

The fourth proportional to 11,790.46, 16,270.57 and 6,485.16 is: 8,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.46 : 16,270.57 = 6,485.16 : x
  2. Step 2: Convert to fraction form
    11,790.46/16,270.57 = 6,485.16/x
  3. Step 3: Cross multiply
    11,790.46x = 16,270.57 × 6,485.16
  4. Step 4: Simplify right side
    11,790.46x = 105,517,249.74
  5. Step 5: Solve for x
    x = 105,517,249.74/11,790.46
  6. Step 6: Final answer
    x = 8,949.38

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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.