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Finding the Fourth Proportional to 8,117.68, 12,167.31 and 3,434.77

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Solution

The fourth proportional to 8,117.68, 12,167.31 and 3,434.77 is: 5,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.68 : 12,167.31 = 3,434.77 : x
  2. Step 2: Convert to fraction form
    8,117.68/12,167.31 = 3,434.77/x
  3. Step 3: Cross multiply
    8,117.68x = 12,167.31 × 3,434.77
  4. Step 4: Simplify right side
    8,117.68x = 41,791,911.37
  5. Step 5: Solve for x
    x = 41,791,911.37/8,117.68
  6. Step 6: Final answer
    x = 5,148.26

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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.