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Finding the Fourth Proportional to 10,408.37, 14,353.81 and 8,290.92

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Solution

The fourth proportional to 10,408.37, 14,353.81 and 8,290.92 is: 11,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.37 : 14,353.81 = 8,290.92 : x
  2. Step 2: Convert to fraction form
    10,408.37/14,353.81 = 8,290.92/x
  3. Step 3: Cross multiply
    10,408.37x = 14,353.81 × 8,290.92
  4. Step 4: Simplify right side
    10,408.37x = 119,006,323.50
  5. Step 5: Solve for x
    x = 119,006,323.50/10,408.37
  6. Step 6: Final answer
    x = 11,433.72

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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.