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Finding the Fourth Proportional to 8,478.27, 12,715.94 and 2,238.34

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Solution

The fourth proportional to 8,478.27, 12,715.94 and 2,238.34 is: 3,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.27 : 12,715.94 = 2,238.34 : x
  2. Step 2: Convert to fraction form
    8,478.27/12,715.94 = 2,238.34/x
  3. Step 3: Cross multiply
    8,478.27x = 12,715.94 × 2,238.34
  4. Step 4: Simplify right side
    8,478.27x = 28,462,597.14
  5. Step 5: Solve for x
    x = 28,462,597.14/8,478.27
  6. Step 6: Final answer
    x = 3,357.12

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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.