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Finding the Fourth Proportional to 10,966.26, 16,446.06 and 9,211.80

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Solution

The fourth proportional to 10,966.26, 16,446.06 and 9,211.80 is: 13,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.26 : 16,446.06 = 9,211.80 : x
  2. Step 2: Convert to fraction form
    10,966.26/16,446.06 = 9,211.80/x
  3. Step 3: Cross multiply
    10,966.26x = 16,446.06 × 9,211.80
  4. Step 4: Simplify right side
    10,966.26x = 151,497,815.51
  5. Step 5: Solve for x
    x = 151,497,815.51/10,966.26
  6. Step 6: Final answer
    x = 13,814.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.