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Finding the Fourth Proportional to 8,188.02, 11,299.77 and 4,651.83

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Solution

The fourth proportional to 8,188.02, 11,299.77 and 4,651.83 is: 6,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.02 : 11,299.77 = 4,651.83 : x
  2. Step 2: Convert to fraction form
    8,188.02/11,299.77 = 4,651.83/x
  3. Step 3: Cross multiply
    8,188.02x = 11,299.77 × 4,651.83
  4. Step 4: Simplify right side
    8,188.02x = 52,564,609.08
  5. Step 5: Solve for x
    x = 52,564,609.08/8,188.02
  6. Step 6: Final answer
    x = 6,419.70

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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.