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Finding the Fourth Proportional to 10,694.56, 14,759.04 and 5,978.56

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Solution

The fourth proportional to 10,694.56, 14,759.04 and 5,978.56 is: 8,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.56 : 14,759.04 = 5,978.56 : x
  2. Step 2: Convert to fraction form
    10,694.56/14,759.04 = 5,978.56/x
  3. Step 3: Cross multiply
    10,694.56x = 14,759.04 × 5,978.56
  4. Step 4: Simplify right side
    10,694.56x = 88,237,806.18
  5. Step 5: Solve for x
    x = 88,237,806.18/10,694.56
  6. Step 6: Final answer
    x = 8,250.72

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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.