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Finding the Fourth Proportional to 7,076.56, 10,614.86 and 2,146.24

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Solution

The fourth proportional to 7,076.56, 10,614.86 and 2,146.24 is: 3,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.56 : 10,614.86 = 2,146.24 : x
  2. Step 2: Convert to fraction form
    7,076.56/10,614.86 = 2,146.24/x
  3. Step 3: Cross multiply
    7,076.56x = 10,614.86 × 2,146.24
  4. Step 4: Simplify right side
    7,076.56x = 22,782,037.13
  5. Step 5: Solve for x
    x = 22,782,037.13/7,076.56
  6. Step 6: Final answer
    x = 3,219.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.