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Finding the Fourth Proportional to 12,160.28, 16,788.42 and 7,975.82

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Solution

The fourth proportional to 12,160.28, 16,788.42 and 7,975.82 is: 11,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.28 : 16,788.42 = 7,975.82 : x
  2. Step 2: Convert to fraction form
    12,160.28/16,788.42 = 7,975.82/x
  3. Step 3: Cross multiply
    12,160.28x = 16,788.42 × 7,975.82
  4. Step 4: Simplify right side
    12,160.28x = 133,901,416.00
  5. Step 5: Solve for x
    x = 133,901,416.00/12,160.28
  6. Step 6: Final answer
    x = 11,011.38

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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.