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Finding the Fourth Proportional to 10,799.91, 16,202.04 and 4,559.92

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Solution

The fourth proportional to 10,799.91, 16,202.04 and 4,559.92 is: 6,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.91 : 16,202.04 = 4,559.92 : x
  2. Step 2: Convert to fraction form
    10,799.91/16,202.04 = 4,559.92/x
  3. Step 3: Cross multiply
    10,799.91x = 16,202.04 × 4,559.92
  4. Step 4: Simplify right side
    10,799.91x = 73,880,006.24
  5. Step 5: Solve for x
    x = 73,880,006.24/10,799.91
  6. Step 6: Final answer
    x = 6,840.80

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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.