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Finding the Fourth Proportional to 10,753.92, 14,840.28 and 6,039

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Solution

The fourth proportional to 10,753.92, 14,840.28 and 6,039 is: 8,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.92 : 14,840.28 = 6,039 : x
  2. Step 2: Convert to fraction form
    10,753.92/14,840.28 = 6,039/x
  3. Step 3: Cross multiply
    10,753.92x = 14,840.28 × 6,039
  4. Step 4: Simplify right side
    10,753.92x = 89,620,450.92
  5. Step 5: Solve for x
    x = 89,620,450.92/10,753.92
  6. Step 6: Final answer
    x = 8,333.75

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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.