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Finding the Fourth Proportional to 7,382.16, 11,071.68 and 2,186.80

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Solution

The fourth proportional to 7,382.16, 11,071.68 and 2,186.80 is: 3,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.16 : 11,071.68 = 2,186.80 : x
  2. Step 2: Convert to fraction form
    7,382.16/11,071.68 = 2,186.80/x
  3. Step 3: Cross multiply
    7,382.16x = 11,071.68 × 2,186.80
  4. Step 4: Simplify right side
    7,382.16x = 24,211,549.82
  5. Step 5: Solve for x
    x = 24,211,549.82/7,382.16
  6. Step 6: Final answer
    x = 3,279.74

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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.