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Finding the Fourth Proportional to 7,382.86, 11,072.66 and 2,186.98

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Solution

The fourth proportional to 7,382.86, 11,072.66 and 2,186.98 is: 3,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.86 : 11,072.66 = 2,186.98 : x
  2. Step 2: Convert to fraction form
    7,382.86/11,072.66 = 2,186.98/x
  3. Step 3: Cross multiply
    7,382.86x = 11,072.66 × 2,186.98
  4. Step 4: Simplify right side
    7,382.86x = 24,215,685.97
  5. Step 5: Solve for x
    x = 24,215,685.97/7,382.86
  6. Step 6: Final answer
    x = 3,279.99

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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.