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Finding the Fourth Proportional to 8,311.62, 11,457.09 and 5,654.46

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Solution

The fourth proportional to 8,311.62, 11,457.09 and 5,654.46 is: 7,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.62 : 11,457.09 = 5,654.46 : x
  2. Step 2: Convert to fraction form
    8,311.62/11,457.09 = 5,654.46/x
  3. Step 3: Cross multiply
    8,311.62x = 11,457.09 × 5,654.46
  4. Step 4: Simplify right side
    8,311.62x = 64,783,657.12
  5. Step 5: Solve for x
    x = 64,783,657.12/8,311.62
  6. Step 6: Final answer
    x = 7,794.35

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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.