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Finding the Fourth Proportional to 10,675.20, 16,015.60 and 4,101.60

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Solution

The fourth proportional to 10,675.20, 16,015.60 and 4,101.60 is: 6,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.20 : 16,015.60 = 4,101.60 : x
  2. Step 2: Convert to fraction form
    10,675.20/16,015.60 = 4,101.60/x
  3. Step 3: Cross multiply
    10,675.20x = 16,015.60 × 4,101.60
  4. Step 4: Simplify right side
    10,675.20x = 65,689,584.96
  5. Step 5: Solve for x
    x = 65,689,584.96/10,675.20
  6. Step 6: Final answer
    x = 6,153.48

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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.