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Finding the Fourth Proportional to 10,803.20, 14,908.32 and 6,023.09

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Solution

The fourth proportional to 10,803.20, 14,908.32 and 6,023.09 is: 8,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.20 : 14,908.32 = 6,023.09 : x
  2. Step 2: Convert to fraction form
    10,803.20/14,908.32 = 6,023.09/x
  3. Step 3: Cross multiply
    10,803.20x = 14,908.32 × 6,023.09
  4. Step 4: Simplify right side
    10,803.20x = 89,794,190.38
  5. Step 5: Solve for x
    x = 89,794,190.38/10,803.20
  6. Step 6: Final answer
    x = 8,311.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.