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Finding the Fourth Proportional to 7,231, 10,846.96 and 2,037.28

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Solution

The fourth proportional to 7,231, 10,846.96 and 2,037.28 is: 3,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231 : 10,846.96 = 2,037.28 : x
  2. Step 2: Convert to fraction form
    7,231/10,846.96 = 2,037.28/x
  3. Step 3: Cross multiply
    7,231x = 10,846.96 × 2,037.28
  4. Step 4: Simplify right side
    7,231x = 22,098,294.67
  5. Step 5: Solve for x
    x = 22,098,294.67/7,231
  6. Step 6: Final answer
    x = 3,056.05

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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.