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Finding the Fourth Proportional to 8,145.29, 12,218.61 and 2,599.42

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Solution

The fourth proportional to 8,145.29, 12,218.61 and 2,599.42 is: 3,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.29 : 12,218.61 = 2,599.42 : x
  2. Step 2: Convert to fraction form
    8,145.29/12,218.61 = 2,599.42/x
  3. Step 3: Cross multiply
    8,145.29x = 12,218.61 × 2,599.42
  4. Step 4: Simplify right side
    8,145.29x = 31,761,268.66
  5. Step 5: Solve for x
    x = 31,761,268.66/8,145.29
  6. Step 6: Final answer
    x = 3,899.34

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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.