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Finding the Fourth Proportional to 11,946.96, 16,488.27 and 7,231.23

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Solution

The fourth proportional to 11,946.96, 16,488.27 and 7,231.23 is: 9,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.96 : 16,488.27 = 7,231.23 : x
  2. Step 2: Convert to fraction form
    11,946.96/16,488.27 = 7,231.23/x
  3. Step 3: Cross multiply
    11,946.96x = 16,488.27 × 7,231.23
  4. Step 4: Simplify right side
    11,946.96x = 119,230,472.67
  5. Step 5: Solve for x
    x = 119,230,472.67/11,946.96
  6. Step 6: Final answer
    x = 9,979.98

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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.