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Finding the Fourth Proportional to 8,393.86, 12,580 and 3,466.96

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Solution

The fourth proportional to 8,393.86, 12,580 and 3,466.96 is: 5,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.86 : 12,580 = 3,466.96 : x
  2. Step 2: Convert to fraction form
    8,393.86/12,580 = 3,466.96/x
  3. Step 3: Cross multiply
    8,393.86x = 12,580 × 3,466.96
  4. Step 4: Simplify right side
    8,393.86x = 43,614,356.80
  5. Step 5: Solve for x
    x = 43,614,356.80/8,393.86
  6. Step 6: Final answer
    x = 5,195.98

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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.