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Finding the Fourth Proportional to 11,663.30, 16,091.52 and 6,946.94

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Solution

The fourth proportional to 11,663.30, 16,091.52 and 6,946.94 is: 9,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.30 : 16,091.52 = 6,946.94 : x
  2. Step 2: Convert to fraction form
    11,663.30/16,091.52 = 6,946.94/x
  3. Step 3: Cross multiply
    11,663.30x = 16,091.52 × 6,946.94
  4. Step 4: Simplify right side
    11,663.30x = 111,786,823.95
  5. Step 5: Solve for x
    x = 111,786,823.95/11,663.30
  6. Step 6: Final answer
    x = 9,584.49

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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.