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Finding the Fourth Proportional to 11,711.70, 16,162.01 and 6,406.45

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Solution

The fourth proportional to 11,711.70, 16,162.01 and 6,406.45 is: 8,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.70 : 16,162.01 = 6,406.45 : x
  2. Step 2: Convert to fraction form
    11,711.70/16,162.01 = 6,406.45/x
  3. Step 3: Cross multiply
    11,711.70x = 16,162.01 × 6,406.45
  4. Step 4: Simplify right side
    11,711.70x = 103,541,187.50
  5. Step 5: Solve for x
    x = 103,541,187.50/11,711.70
  6. Step 6: Final answer
    x = 8,840.83

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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.