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Finding the Fourth Proportional to 7,694.04, 11,561.90 and 4,186.64

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Solution

The fourth proportional to 7,694.04, 11,561.90 and 4,186.64 is: 6,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.04 : 11,561.90 = 4,186.64 : x
  2. Step 2: Convert to fraction form
    7,694.04/11,561.90 = 4,186.64/x
  3. Step 3: Cross multiply
    7,694.04x = 11,561.90 × 4,186.64
  4. Step 4: Simplify right side
    7,694.04x = 48,405,513.02
  5. Step 5: Solve for x
    x = 48,405,513.02/7,694.04
  6. Step 6: Final answer
    x = 6,291.30

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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.