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Finding the Fourth Proportional to 7,382.10, 11,071.79 and 2,186.74

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Solution

The fourth proportional to 7,382.10, 11,071.79 and 2,186.74 is: 3,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.10 : 11,071.79 = 2,186.74 : x
  2. Step 2: Convert to fraction form
    7,382.10/11,071.79 = 2,186.74/x
  3. Step 3: Cross multiply
    7,382.10x = 11,071.79 × 2,186.74
  4. Step 4: Simplify right side
    7,382.10x = 24,211,126.06
  5. Step 5: Solve for x
    x = 24,211,126.06/7,382.10
  6. Step 6: Final answer
    x = 3,279.71

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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.