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Finding the Fourth Proportional to 10,201.83, 15,302.57 and 2,806.26

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Solution

The fourth proportional to 10,201.83, 15,302.57 and 2,806.26 is: 4,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.83 : 15,302.57 = 2,806.26 : x
  2. Step 2: Convert to fraction form
    10,201.83/15,302.57 = 2,806.26/x
  3. Step 3: Cross multiply
    10,201.83x = 15,302.57 × 2,806.26
  4. Step 4: Simplify right side
    10,201.83x = 42,942,976.06
  5. Step 5: Solve for x
    x = 42,942,976.06/10,201.83
  6. Step 6: Final answer
    x = 4,209.34

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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.