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Finding the Fourth Proportional to 10,905.20, 16,358.04 and 3,114.60

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Solution

The fourth proportional to 10,905.20, 16,358.04 and 3,114.60 is: 4,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.20 : 16,358.04 = 3,114.60 : x
  2. Step 2: Convert to fraction form
    10,905.20/16,358.04 = 3,114.60/x
  3. Step 3: Cross multiply
    10,905.20x = 16,358.04 × 3,114.60
  4. Step 4: Simplify right side
    10,905.20x = 50,948,751.38
  5. Step 5: Solve for x
    x = 50,948,751.38/10,905.20
  6. Step 6: Final answer
    x = 4,671.97

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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.