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Finding the Fourth Proportional to 10,441.60, 14,409.28 and 5,965.44

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Solution

The fourth proportional to 10,441.60, 14,409.28 and 5,965.44 is: 8,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.60 : 14,409.28 = 5,965.44 : x
  2. Step 2: Convert to fraction form
    10,441.60/14,409.28 = 5,965.44/x
  3. Step 3: Cross multiply
    10,441.60x = 14,409.28 × 5,965.44
  4. Step 4: Simplify right side
    10,441.60x = 85,957,695.28
  5. Step 5: Solve for x
    x = 85,957,695.28/10,441.60
  6. Step 6: Final answer
    x = 8,232.23

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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.