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Finding the Fourth Proportional to 10,806.25, 16,209.38 and 3,510.25

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Solution

The fourth proportional to 10,806.25, 16,209.38 and 3,510.25 is: 5,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.25 : 16,209.38 = 3,510.25 : x
  2. Step 2: Convert to fraction form
    10,806.25/16,209.38 = 3,510.25/x
  3. Step 3: Cross multiply
    10,806.25x = 16,209.38 × 3,510.25
  4. Step 4: Simplify right side
    10,806.25x = 56,898,976.15
  5. Step 5: Solve for x
    x = 56,898,976.15/10,806.25
  6. Step 6: Final answer
    x = 5,265.38

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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.