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Finding the Fourth Proportional to 8,185.38, 12,295.08 and 7,966.68

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Solution

The fourth proportional to 8,185.38, 12,295.08 and 7,966.68 is: 11,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.38 : 12,295.08 = 7,966.68 : x
  2. Step 2: Convert to fraction form
    8,185.38/12,295.08 = 7,966.68/x
  3. Step 3: Cross multiply
    8,185.38x = 12,295.08 × 7,966.68
  4. Step 4: Simplify right side
    8,185.38x = 97,950,967.93
  5. Step 5: Solve for x
    x = 97,950,967.93/8,185.38
  6. Step 6: Final answer
    x = 11,966.58

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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.