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Finding the Fourth Proportional to 8,196.67, 11,311.40 and 4,659.88

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Solution

The fourth proportional to 8,196.67, 11,311.40 and 4,659.88 is: 6,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.67 : 11,311.40 = 4,659.88 : x
  2. Step 2: Convert to fraction form
    8,196.67/11,311.40 = 4,659.88/x
  3. Step 3: Cross multiply
    8,196.67x = 11,311.40 × 4,659.88
  4. Step 4: Simplify right side
    8,196.67x = 52,709,766.63
  5. Step 5: Solve for x
    x = 52,709,766.63/8,196.67
  6. Step 6: Final answer
    x = 6,430.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.