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Finding the Fourth Proportional to 10,759.20, 14,846.88 and 6,042.56

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Solution

The fourth proportional to 10,759.20, 14,846.88 and 6,042.56 is: 8,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.20 : 14,846.88 = 6,042.56 : x
  2. Step 2: Convert to fraction form
    10,759.20/14,846.88 = 6,042.56/x
  3. Step 3: Cross multiply
    10,759.20x = 14,846.88 × 6,042.56
  4. Step 4: Simplify right side
    10,759.20x = 89,713,163.21
  5. Step 5: Solve for x
    x = 89,713,163.21/10,759.20
  6. Step 6: Final answer
    x = 8,338.27

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