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Finding the Fourth Proportional to 10,809.29, 16,199.79 and 5,539.83

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Solution

The fourth proportional to 10,809.29, 16,199.79 and 5,539.83 is: 8,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.29 : 16,199.79 = 5,539.83 : x
  2. Step 2: Convert to fraction form
    10,809.29/16,199.79 = 5,539.83/x
  3. Step 3: Cross multiply
    10,809.29x = 16,199.79 × 5,539.83
  4. Step 4: Simplify right side
    10,809.29x = 89,744,082.64
  5. Step 5: Solve for x
    x = 89,744,082.64/10,809.29
  6. Step 6: Final answer
    x = 8,302.50

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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.