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Finding the Fourth Proportional to 12,108.63, 16,698.27 and 7,858.13

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Solution

The fourth proportional to 12,108.63, 16,698.27 and 7,858.13 is: 10,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108.63 : 16,698.27 = 7,858.13 : x
  2. Step 2: Convert to fraction form
    12,108.63/16,698.27 = 7,858.13/x
  3. Step 3: Cross multiply
    12,108.63x = 16,698.27 × 7,858.13
  4. Step 4: Simplify right side
    12,108.63x = 131,217,092.94
  5. Step 5: Solve for x
    x = 131,217,092.94/12,108.63
  6. Step 6: Final answer
    x = 10,836.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.