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Finding the Fourth Proportional to 11,715.66, 16,167.87 and 6,410.48

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Solution

The fourth proportional to 11,715.66, 16,167.87 and 6,410.48 is: 8,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.66 : 16,167.87 = 6,410.48 : x
  2. Step 2: Convert to fraction form
    11,715.66/16,167.87 = 6,410.48/x
  3. Step 3: Cross multiply
    11,715.66x = 16,167.87 × 6,410.48
  4. Step 4: Simplify right side
    11,715.66x = 103,643,807.28
  5. Step 5: Solve for x
    x = 103,643,807.28/11,715.66
  6. Step 6: Final answer
    x = 8,846.60

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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.