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Finding the Fourth Proportional to 7,451.84, 11,179.49 and 2,186.64

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Solution

The fourth proportional to 7,451.84, 11,179.49 and 2,186.64 is: 3,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.84 : 11,179.49 = 2,186.64 : x
  2. Step 2: Convert to fraction form
    7,451.84/11,179.49 = 2,186.64/x
  3. Step 3: Cross multiply
    7,451.84x = 11,179.49 × 2,186.64
  4. Step 4: Simplify right side
    7,451.84x = 24,445,525.48
  5. Step 5: Solve for x
    x = 24,445,525.48/7,451.84
  6. Step 6: Final answer
    x = 3,280.47

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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.