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Finding the Fourth Proportional to 12,179.27, 16,807.73 and 6,875.51

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Solution

The fourth proportional to 12,179.27, 16,807.73 and 6,875.51 is: 9,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.27 : 16,807.73 = 6,875.51 : x
  2. Step 2: Convert to fraction form
    12,179.27/16,807.73 = 6,875.51/x
  3. Step 3: Cross multiply
    12,179.27x = 16,807.73 × 6,875.51
  4. Step 4: Simplify right side
    12,179.27x = 115,561,597.28
  5. Step 5: Solve for x
    x = 115,561,597.28/12,179.27
  6. Step 6: Final answer
    x = 9,488.39

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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.