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Finding the Fourth Proportional to 11,821.68, 16,312.07 and 7,576.56

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Solution

The fourth proportional to 11,821.68, 16,312.07 and 7,576.56 is: 10,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.68 : 16,312.07 = 7,576.56 : x
  2. Step 2: Convert to fraction form
    11,821.68/16,312.07 = 7,576.56/x
  3. Step 3: Cross multiply
    11,821.68x = 16,312.07 × 7,576.56
  4. Step 4: Simplify right side
    11,821.68x = 123,589,396.02
  5. Step 5: Solve for x
    x = 123,589,396.02/11,821.68
  6. Step 6: Final answer
    x = 10,454.47

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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.