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Finding the Fourth Proportional to 11,441.53, 17,140.06 and 8,434.10

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Solution

The fourth proportional to 11,441.53, 17,140.06 and 8,434.10 is: 12,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.53 : 17,140.06 = 8,434.10 : x
  2. Step 2: Convert to fraction form
    11,441.53/17,140.06 = 8,434.10/x
  3. Step 3: Cross multiply
    11,441.53x = 17,140.06 × 8,434.10
  4. Step 4: Simplify right side
    11,441.53x = 144,560,980.05
  5. Step 5: Solve for x
    x = 144,560,980.05/11,441.53
  6. Step 6: Final answer
    x = 12,634.76

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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.