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Finding the Fourth Proportional to 10,908, 16,362.54 and 3,511.86

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Solution

The fourth proportional to 10,908, 16,362.54 and 3,511.86 is: 5,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 16,362.54 = 3,511.86 : x
  2. Step 2: Convert to fraction form
    10,908/16,362.54 = 3,511.86/x
  3. Step 3: Cross multiply
    10,908x = 16,362.54 × 3,511.86
  4. Step 4: Simplify right side
    10,908x = 57,462,949.72
  5. Step 5: Solve for x
    x = 57,462,949.72/10,908
  6. Step 6: Final answer
    x = 5,267.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.