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Finding the Fourth Proportional to 7,684.80, 11,519.70 and 4,171.64

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Solution

The fourth proportional to 7,684.80, 11,519.70 and 4,171.64 is: 6,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.80 : 11,519.70 = 4,171.64 : x
  2. Step 2: Convert to fraction form
    7,684.80/11,519.70 = 4,171.64/x
  3. Step 3: Cross multiply
    7,684.80x = 11,519.70 × 4,171.64
  4. Step 4: Simplify right side
    7,684.80x = 48,056,041.31
  5. Step 5: Solve for x
    x = 48,056,041.31/7,684.80
  6. Step 6: Final answer
    x = 6,253.39

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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.