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Finding the Fourth Proportional to 10,576.82, 14,589.17 and 8,335.22

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Solution

The fourth proportional to 10,576.82, 14,589.17 and 8,335.22 is: 11,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.82 : 14,589.17 = 8,335.22 : x
  2. Step 2: Convert to fraction form
    10,576.82/14,589.17 = 8,335.22/x
  3. Step 3: Cross multiply
    10,576.82x = 14,589.17 × 8,335.22
  4. Step 4: Simplify right side
    10,576.82x = 121,603,941.57
  5. Step 5: Solve for x
    x = 121,603,941.57/10,576.82
  6. Step 6: Final answer
    x = 11,497.21

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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.