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Finding the Fourth Proportional to 10,983.03, 16,474.54 and 6,333.42

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Solution

The fourth proportional to 10,983.03, 16,474.54 and 6,333.42 is: 9,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.03 : 16,474.54 = 6,333.42 : x
  2. Step 2: Convert to fraction form
    10,983.03/16,474.54 = 6,333.42/x
  3. Step 3: Cross multiply
    10,983.03x = 16,474.54 × 6,333.42
  4. Step 4: Simplify right side
    10,983.03x = 104,340,181.13
  5. Step 5: Solve for x
    x = 104,340,181.13/10,983.03
  6. Step 6: Final answer
    x = 9,500.13

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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.