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Finding the Fourth Proportional to 8,393.42, 12,588.21 and 3,464.57

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Solution

The fourth proportional to 8,393.42, 12,588.21 and 3,464.57 is: 5,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.42 : 12,588.21 = 3,464.57 : x
  2. Step 2: Convert to fraction form
    8,393.42/12,588.21 = 3,464.57/x
  3. Step 3: Cross multiply
    8,393.42x = 12,588.21 × 3,464.57
  4. Step 4: Simplify right side
    8,393.42x = 43,612,766.19
  5. Step 5: Solve for x
    x = 43,612,766.19/8,393.42
  6. Step 6: Final answer
    x = 5,196.06

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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.