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Finding the Fourth Proportional to 7,231.56, 10,847.76 and 2,037

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Solution

The fourth proportional to 7,231.56, 10,847.76 and 2,037 is: 3,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.56 : 10,847.76 = 2,037 : x
  2. Step 2: Convert to fraction form
    7,231.56/10,847.76 = 2,037/x
  3. Step 3: Cross multiply
    7,231.56x = 10,847.76 × 2,037
  4. Step 4: Simplify right side
    7,231.56x = 22,096,887.12
  5. Step 5: Solve for x
    x = 22,096,887.12/7,231.56
  6. Step 6: Final answer
    x = 3,055.62

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Why These Related Problems?

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