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Finding the Fourth Proportional to 11,291.34, 16,941.46 and 8,175.27

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Solution

The fourth proportional to 11,291.34, 16,941.46 and 8,175.27 is: 12,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.34 : 16,941.46 = 8,175.27 : x
  2. Step 2: Convert to fraction form
    11,291.34/16,941.46 = 8,175.27/x
  3. Step 3: Cross multiply
    11,291.34x = 16,941.46 × 8,175.27
  4. Step 4: Simplify right side
    11,291.34x = 138,501,009.69
  5. Step 5: Solve for x
    x = 138,501,009.69/11,291.34
  6. Step 6: Final answer
    x = 12,266.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.