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Finding the Fourth Proportional to 8,186.38, 12,296.58 and 7,967.68

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Solution

The fourth proportional to 8,186.38, 12,296.58 and 7,967.68 is: 11,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.38 : 12,296.58 = 7,967.68 : x
  2. Step 2: Convert to fraction form
    8,186.38/12,296.58 = 7,967.68/x
  3. Step 3: Cross multiply
    8,186.38x = 12,296.58 × 7,967.68
  4. Step 4: Simplify right side
    8,186.38x = 97,975,214.53
  5. Step 5: Solve for x
    x = 97,975,214.53/8,186.38
  6. Step 6: Final answer
    x = 11,968.08

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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.