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Finding the Fourth Proportional to 10,441.46, 14,407.64 and 5,964.26

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Solution

The fourth proportional to 10,441.46, 14,407.64 and 5,964.26 is: 8,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.46 : 14,407.64 = 5,964.26 : x
  2. Step 2: Convert to fraction form
    10,441.46/14,407.64 = 5,964.26/x
  3. Step 3: Cross multiply
    10,441.46x = 14,407.64 × 5,964.26
  4. Step 4: Simplify right side
    10,441.46x = 85,930,809.09
  5. Step 5: Solve for x
    x = 85,930,809.09/10,441.46
  6. Step 6: Final answer
    x = 8,229.77

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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.