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Finding the Fourth Proportional to 11,711.76, 16,162.44 and 6,406.80

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Solution

The fourth proportional to 11,711.76, 16,162.44 and 6,406.80 is: 8,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.76 : 16,162.44 = 6,406.80 : x
  2. Step 2: Convert to fraction form
    11,711.76/16,162.44 = 6,406.80/x
  3. Step 3: Cross multiply
    11,711.76x = 16,162.44 × 6,406.80
  4. Step 4: Simplify right side
    11,711.76x = 103,549,520.59
  5. Step 5: Solve for x
    x = 103,549,520.59/11,711.76
  6. Step 6: Final answer
    x = 8,841.50

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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.