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Finding the Fourth Proportional to 11,039.57, 15,234.68 and 6,003.84

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Solution

The fourth proportional to 11,039.57, 15,234.68 and 6,003.84 is: 8,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,039.57 : 15,234.68 = 6,003.84 : x
  2. Step 2: Convert to fraction form
    11,039.57/15,234.68 = 6,003.84/x
  3. Step 3: Cross multiply
    11,039.57x = 15,234.68 × 6,003.84
  4. Step 4: Simplify right side
    11,039.57x = 91,466,551.15
  5. Step 5: Solve for x
    x = 91,466,551.15/11,039.57
  6. Step 6: Final answer
    x = 8,285.34

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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.