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Finding the Fourth Proportional to 11,966.27, 16,511.04 and 7,247.81

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Solution

The fourth proportional to 11,966.27, 16,511.04 and 7,247.81 is: 10,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.27 : 16,511.04 = 7,247.81 : x
  2. Step 2: Convert to fraction form
    11,966.27/16,511.04 = 7,247.81/x
  3. Step 3: Cross multiply
    11,966.27x = 16,511.04 × 7,247.81
  4. Step 4: Simplify right side
    11,966.27x = 119,668,922.10
  5. Step 5: Solve for x
    x = 119,668,922.10/11,966.27
  6. Step 6: Final answer
    x = 10,000.52

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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.