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Finding the Fourth Proportional to 8,145.81, 12,217.19 and 2,302.38

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Solution

The fourth proportional to 8,145.81, 12,217.19 and 2,302.38 is: 3,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.81 : 12,217.19 = 2,302.38 : x
  2. Step 2: Convert to fraction form
    8,145.81/12,217.19 = 2,302.38/x
  3. Step 3: Cross multiply
    8,145.81x = 12,217.19 × 2,302.38
  4. Step 4: Simplify right side
    8,145.81x = 28,128,602.40
  5. Step 5: Solve for x
    x = 28,128,602.40/8,145.81
  6. Step 6: Final answer
    x = 3,453.14

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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.