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Finding the Fourth Proportional to 11,711.70, 16,161.46 and 6,406.20

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Solution

The fourth proportional to 11,711.70, 16,161.46 and 6,406.20 is: 8,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.70 : 16,161.46 = 6,406.20 : x
  2. Step 2: Convert to fraction form
    11,711.70/16,161.46 = 6,406.20/x
  3. Step 3: Cross multiply
    11,711.70x = 16,161.46 × 6,406.20
  4. Step 4: Simplify right side
    11,711.70x = 103,533,529.04
  5. Step 5: Solve for x
    x = 103,533,529.04/11,711.70
  6. Step 6: Final answer
    x = 8,840.18

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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.