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Finding the Fourth Proportional to 11,711.17, 16,161.80 and 6,405.99

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Solution

The fourth proportional to 11,711.17, 16,161.80 and 6,405.99 is: 8,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.17 : 16,161.80 = 6,405.99 : x
  2. Step 2: Convert to fraction form
    11,711.17/16,161.80 = 6,405.99/x
  3. Step 3: Cross multiply
    11,711.17x = 16,161.80 × 6,405.99
  4. Step 4: Simplify right side
    11,711.17x = 103,532,236.55
  5. Step 5: Solve for x
    x = 103,532,236.55/11,711.17
  6. Step 6: Final answer
    x = 8,840.47

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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.