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Finding the Fourth Proportional to 8,311.96, 12,459.66 and 4,615.84

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Solution

The fourth proportional to 8,311.96, 12,459.66 and 4,615.84 is: 6,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.96 : 12,459.66 = 4,615.84 : x
  2. Step 2: Convert to fraction form
    8,311.96/12,459.66 = 4,615.84/x
  3. Step 3: Cross multiply
    8,311.96x = 12,459.66 × 4,615.84
  4. Step 4: Simplify right side
    8,311.96x = 57,511,797.01
  5. Step 5: Solve for x
    x = 57,511,797.01/8,311.96
  6. Step 6: Final answer
    x = 6,919.16

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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.