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Finding the Fourth Proportional to 10,441.34, 15,634.29 and 8,167.19

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Solution

The fourth proportional to 10,441.34, 15,634.29 and 8,167.19 is: 12,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.34 : 15,634.29 = 8,167.19 : x
  2. Step 2: Convert to fraction form
    10,441.34/15,634.29 = 8,167.19/x
  3. Step 3: Cross multiply
    10,441.34x = 15,634.29 × 8,167.19
  4. Step 4: Simplify right side
    10,441.34x = 127,688,256.03
  5. Step 5: Solve for x
    x = 127,688,256.03/10,441.34
  6. Step 6: Final answer
    x = 12,229.11

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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.