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Finding the Fourth Proportional to 11,711.64, 16,161.78 and 6,406.34

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Solution

The fourth proportional to 11,711.64, 16,161.78 and 6,406.34 is: 8,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.64 : 16,161.78 = 6,406.34 : x
  2. Step 2: Convert to fraction form
    11,711.64/16,161.78 = 6,406.34/x
  3. Step 3: Cross multiply
    11,711.64x = 16,161.78 × 6,406.34
  4. Step 4: Simplify right side
    11,711.64x = 103,537,855.77
  5. Step 5: Solve for x
    x = 103,537,855.77/11,711.64
  6. Step 6: Final answer
    x = 8,840.60

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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.