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Finding the Fourth Proportional to 8,117.63, 12,167.21 and 3,434.72

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Solution

The fourth proportional to 8,117.63, 12,167.21 and 3,434.72 is: 5,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.63 : 12,167.21 = 3,434.72 : x
  2. Step 2: Convert to fraction form
    8,117.63/12,167.21 = 3,434.72/x
  3. Step 3: Cross multiply
    8,117.63x = 12,167.21 × 3,434.72
  4. Step 4: Simplify right side
    8,117.63x = 41,790,959.53
  5. Step 5: Solve for x
    x = 41,790,959.53/8,117.63
  6. Step 6: Final answer
    x = 5,148.17

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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.