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Finding the Fourth Proportional to 10,167.12, 14,044.05 and 8,185.19

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Solution

The fourth proportional to 10,167.12, 14,044.05 and 8,185.19 is: 11,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.12 : 14,044.05 = 8,185.19 : x
  2. Step 2: Convert to fraction form
    10,167.12/14,044.05 = 8,185.19/x
  3. Step 3: Cross multiply
    10,167.12x = 14,044.05 × 8,185.19
  4. Step 4: Simplify right side
    10,167.12x = 114,953,147.40
  5. Step 5: Solve for x
    x = 114,953,147.40/10,167.12
  6. Step 6: Final answer
    x = 11,306.36

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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.