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Finding the Fourth Proportional to 11,991.76, 16,546.70 and 7,210.56

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Solution

The fourth proportional to 11,991.76, 16,546.70 and 7,210.56 is: 9,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.76 : 16,546.70 = 7,210.56 : x
  2. Step 2: Convert to fraction form
    11,991.76/16,546.70 = 7,210.56/x
  3. Step 3: Cross multiply
    11,991.76x = 16,546.70 × 7,210.56
  4. Step 4: Simplify right side
    11,991.76x = 119,310,937.10
  5. Step 5: Solve for x
    x = 119,310,937.10/11,991.76
  6. Step 6: Final answer
    x = 9,949.41

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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.