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Finding the Fourth Proportional to 10,380.90, 14,325.96 and 5,905.29

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Solution

The fourth proportional to 10,380.90, 14,325.96 and 5,905.29 is: 8,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.90 : 14,325.96 = 5,905.29 : x
  2. Step 2: Convert to fraction form
    10,380.90/14,325.96 = 5,905.29/x
  3. Step 3: Cross multiply
    10,380.90x = 14,325.96 × 5,905.29
  4. Step 4: Simplify right side
    10,380.90x = 84,598,948.33
  5. Step 5: Solve for x
    x = 84,598,948.33/10,380.90
  6. Step 6: Final answer
    x = 8,149.48

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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.