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Finding the Fourth Proportional to 10,443.54, 14,408.43 and 5,964.06

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Solution

The fourth proportional to 10,443.54, 14,408.43 and 5,964.06 is: 8,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.54 : 14,408.43 = 5,964.06 : x
  2. Step 2: Convert to fraction form
    10,443.54/14,408.43 = 5,964.06/x
  3. Step 3: Cross multiply
    10,443.54x = 14,408.43 × 5,964.06
  4. Step 4: Simplify right side
    10,443.54x = 85,932,741.03
  5. Step 5: Solve for x
    x = 85,932,741.03/10,443.54
  6. Step 6: Final answer
    x = 8,228.32

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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.