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Finding the Fourth Proportional to 8,534.65, 12,793.37 and 3,530.12

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Solution

The fourth proportional to 8,534.65, 12,793.37 and 3,530.12 is: 5,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.65 : 12,793.37 = 3,530.12 : x
  2. Step 2: Convert to fraction form
    8,534.65/12,793.37 = 3,530.12/x
  3. Step 3: Cross multiply
    8,534.65x = 12,793.37 × 3,530.12
  4. Step 4: Simplify right side
    8,534.65x = 45,162,049.69
  5. Step 5: Solve for x
    x = 45,162,049.69/8,534.65
  6. Step 6: Final answer
    x = 5,291.61

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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.