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Finding the Fourth Proportional to 8,596.40, 12,870.34 and 5,468.68

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Solution

The fourth proportional to 8,596.40, 12,870.34 and 5,468.68 is: 8,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.40 : 12,870.34 = 5,468.68 : x
  2. Step 2: Convert to fraction form
    8,596.40/12,870.34 = 5,468.68/x
  3. Step 3: Cross multiply
    8,596.40x = 12,870.34 × 5,468.68
  4. Step 4: Simplify right side
    8,596.40x = 70,383,770.95
  5. Step 5: Solve for x
    x = 70,383,770.95/8,596.40
  6. Step 6: Final answer
    x = 8,187.59

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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.