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Finding the Fourth Proportional to 10,929.90, 16,410.20 and 5,596.90

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Solution

The fourth proportional to 10,929.90, 16,410.20 and 5,596.90 is: 8,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.90 : 16,410.20 = 5,596.90 : x
  2. Step 2: Convert to fraction form
    10,929.90/16,410.20 = 5,596.90/x
  3. Step 3: Cross multiply
    10,929.90x = 16,410.20 × 5,596.90
  4. Step 4: Simplify right side
    10,929.90x = 91,846,262.37
  5. Step 5: Solve for x
    x = 91,846,262.37/10,929.90
  6. Step 6: Final answer
    x = 8,403.21

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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.