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Finding the Fourth Proportional to 10,511.92, 15,763.30 and 3,013.82

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Solution

The fourth proportional to 10,511.92, 15,763.30 and 3,013.82 is: 4,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.92 : 15,763.30 = 3,013.82 : x
  2. Step 2: Convert to fraction form
    10,511.92/15,763.30 = 3,013.82/x
  3. Step 3: Cross multiply
    10,511.92x = 15,763.30 × 3,013.82
  4. Step 4: Simplify right side
    10,511.92x = 47,507,751.12
  5. Step 5: Solve for x
    x = 47,507,751.12/10,511.92
  6. Step 6: Final answer
    x = 4,519.42

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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.