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Finding the Fourth Proportional to 11,715.61, 16,167.93 and 6,410.44

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Solution

The fourth proportional to 11,715.61, 16,167.93 and 6,410.44 is: 8,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.61 : 16,167.93 = 6,410.44 : x
  2. Step 2: Convert to fraction form
    11,715.61/16,167.93 = 6,410.44/x
  3. Step 3: Cross multiply
    11,715.61x = 16,167.93 × 6,410.44
  4. Step 4: Simplify right side
    11,715.61x = 103,643,464.35
  5. Step 5: Solve for x
    x = 103,643,464.35/11,715.61
  6. Step 6: Final answer
    x = 8,846.61

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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.