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Finding the Fourth Proportional to 11,715.66, 16,167.60 and 6,410.46

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Solution

The fourth proportional to 11,715.66, 16,167.60 and 6,410.46 is: 8,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.66 : 16,167.60 = 6,410.46 : x
  2. Step 2: Convert to fraction form
    11,715.66/16,167.60 = 6,410.46/x
  3. Step 3: Cross multiply
    11,715.66x = 16,167.60 × 6,410.46
  4. Step 4: Simplify right side
    11,715.66x = 103,641,753.10
  5. Step 5: Solve for x
    x = 103,641,753.10/11,715.66
  6. Step 6: Final answer
    x = 8,846.43

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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.