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Finding the Fourth Proportional to 10,440.64, 14,408.37 and 5,965.12

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Solution

The fourth proportional to 10,440.64, 14,408.37 and 5,965.12 is: 8,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.64 : 14,408.37 = 5,965.12 : x
  2. Step 2: Convert to fraction form
    10,440.64/14,408.37 = 5,965.12/x
  3. Step 3: Cross multiply
    10,440.64x = 14,408.37 × 5,965.12
  4. Step 4: Simplify right side
    10,440.64x = 85,947,554.19
  5. Step 5: Solve for x
    x = 85,947,554.19/10,440.64
  6. Step 6: Final answer
    x = 8,232.02

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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.