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Finding the Fourth Proportional to 10,408.40, 14,363.96 and 5,932.84

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Solution

The fourth proportional to 10,408.40, 14,363.96 and 5,932.84 is: 8,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.40 : 14,363.96 = 5,932.84 : x
  2. Step 2: Convert to fraction form
    10,408.40/14,363.96 = 5,932.84/x
  3. Step 3: Cross multiply
    10,408.40x = 14,363.96 × 5,932.84
  4. Step 4: Simplify right side
    10,408.40x = 85,219,076.45
  5. Step 5: Solve for x
    x = 85,219,076.45/10,408.40
  6. Step 6: Final answer
    x = 8,187.53

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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.