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Finding the Fourth Proportional to 10,411.67, 14,367.74 and 5,936.87

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Solution

The fourth proportional to 10,411.67, 14,367.74 and 5,936.87 is: 8,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.67 : 14,367.74 = 5,936.87 : x
  2. Step 2: Convert to fraction form
    10,411.67/14,367.74 = 5,936.87/x
  3. Step 3: Cross multiply
    10,411.67x = 14,367.74 × 5,936.87
  4. Step 4: Simplify right side
    10,411.67x = 85,299,303.05
  5. Step 5: Solve for x
    x = 85,299,303.05/10,411.67
  6. Step 6: Final answer
    x = 8,192.66

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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.