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Finding the Fourth Proportional to 8,269.40, 12,411.66 and 3,889.46

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Solution

The fourth proportional to 8,269.40, 12,411.66 and 3,889.46 is: 5,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.40 : 12,411.66 = 3,889.46 : x
  2. Step 2: Convert to fraction form
    8,269.40/12,411.66 = 3,889.46/x
  3. Step 3: Cross multiply
    8,269.40x = 12,411.66 × 3,889.46
  4. Step 4: Simplify right side
    8,269.40x = 48,274,655.10
  5. Step 5: Solve for x
    x = 48,274,655.10/8,269.40
  6. Step 6: Final answer
    x = 5,837.75

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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.