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Finding the Fourth Proportional to 8,154.96, 11,254.20 and 4,618.44

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Solution

The fourth proportional to 8,154.96, 11,254.20 and 4,618.44 is: 6,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.96 : 11,254.20 = 4,618.44 : x
  2. Step 2: Convert to fraction form
    8,154.96/11,254.20 = 4,618.44/x
  3. Step 3: Cross multiply
    8,154.96x = 11,254.20 × 4,618.44
  4. Step 4: Simplify right side
    8,154.96x = 51,976,847.45
  5. Step 5: Solve for x
    x = 51,976,847.45/8,154.96
  6. Step 6: Final answer
    x = 6,373.65

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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.