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Finding the Fourth Proportional to 12,016.68, 16,582.45 and 6,711.38

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Solution

The fourth proportional to 12,016.68, 16,582.45 and 6,711.38 is: 9,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.68 : 16,582.45 = 6,711.38 : x
  2. Step 2: Convert to fraction form
    12,016.68/16,582.45 = 6,711.38/x
  3. Step 3: Cross multiply
    12,016.68x = 16,582.45 × 6,711.38
  4. Step 4: Simplify right side
    12,016.68x = 111,291,123.28
  5. Step 5: Solve for x
    x = 111,291,123.28/12,016.68
  6. Step 6: Final answer
    x = 9,261.39

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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.