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Finding the Fourth Proportional to 11,686.42, 16,128.68 and 6,651.86

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Solution

The fourth proportional to 11,686.42, 16,128.68 and 6,651.86 is: 9,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.42 : 16,128.68 = 6,651.86 : x
  2. Step 2: Convert to fraction form
    11,686.42/16,128.68 = 6,651.86/x
  3. Step 3: Cross multiply
    11,686.42x = 16,128.68 × 6,651.86
  4. Step 4: Simplify right side
    11,686.42x = 107,285,688.09
  5. Step 5: Solve for x
    x = 107,285,688.09/11,686.42
  6. Step 6: Final answer
    x = 9,180.38

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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.