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Finding the Fourth Proportional to 11,710.26, 16,133.04 and 8,167.32

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Solution

The fourth proportional to 11,710.26, 16,133.04 and 8,167.32 is: 11,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.26 : 16,133.04 = 8,167.32 : x
  2. Step 2: Convert to fraction form
    11,710.26/16,133.04 = 8,167.32/x
  3. Step 3: Cross multiply
    11,710.26x = 16,133.04 × 8,167.32
  4. Step 4: Simplify right side
    11,710.26x = 131,763,700.25
  5. Step 5: Solve for x
    x = 131,763,700.25/11,710.26
  6. Step 6: Final answer
    x = 11,251.99

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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.