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Finding the Fourth Proportional to 10,906.10, 16,395.60 and 9,302.30

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Solution

The fourth proportional to 10,906.10, 16,395.60 and 9,302.30 is: 13,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.10 : 16,395.60 = 9,302.30 : x
  2. Step 2: Convert to fraction form
    10,906.10/16,395.60 = 9,302.30/x
  3. Step 3: Cross multiply
    10,906.10x = 16,395.60 × 9,302.30
  4. Step 4: Simplify right side
    10,906.10x = 152,516,789.88
  5. Step 5: Solve for x
    x = 152,516,789.88/10,906.10
  6. Step 6: Final answer
    x = 13,984.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.