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Finding the Fourth Proportional to 7,214.81, 10,826.06 and 2,832.30

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Solution

The fourth proportional to 7,214.81, 10,826.06 and 2,832.30 is: 4,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.81 : 10,826.06 = 2,832.30 : x
  2. Step 2: Convert to fraction form
    7,214.81/10,826.06 = 2,832.30/x
  3. Step 3: Cross multiply
    7,214.81x = 10,826.06 × 2,832.30
  4. Step 4: Simplify right side
    7,214.81x = 30,662,635.58
  5. Step 5: Solve for x
    x = 30,662,635.58/7,214.81
  6. Step 6: Final answer
    x = 4,249.96

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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.