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Finding the Fourth Proportional to 10,907.96, 16,362.54 and 3,511.85

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Solution

The fourth proportional to 10,907.96, 16,362.54 and 3,511.85 is: 5,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.96 : 16,362.54 = 3,511.85 : x
  2. Step 2: Convert to fraction form
    10,907.96/16,362.54 = 3,511.85/x
  3. Step 3: Cross multiply
    10,907.96x = 16,362.54 × 3,511.85
  4. Step 4: Simplify right side
    10,907.96x = 57,462,704.29
  5. Step 5: Solve for x
    x = 57,462,704.29/10,907.96
  6. Step 6: Final answer
    x = 5,267.96

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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.