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Finding the Fourth Proportional to 10,899.92, 16,343.04 and 5,049.02

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Solution

The fourth proportional to 10,899.92, 16,343.04 and 5,049.02 is: 7,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.92 : 16,343.04 = 5,049.02 : x
  2. Step 2: Convert to fraction form
    10,899.92/16,343.04 = 5,049.02/x
  3. Step 3: Cross multiply
    10,899.92x = 16,343.04 × 5,049.02
  4. Step 4: Simplify right side
    10,899.92x = 82,516,335.82
  5. Step 5: Solve for x
    x = 82,516,335.82/10,899.92
  6. Step 6: Final answer
    x = 7,570.36

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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.