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Finding the Fourth Proportional to 7,882.22, 11,827.08 and 4,919.86

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Solution

The fourth proportional to 7,882.22, 11,827.08 and 4,919.86 is: 7,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.22 : 11,827.08 = 4,919.86 : x
  2. Step 2: Convert to fraction form
    7,882.22/11,827.08 = 4,919.86/x
  3. Step 3: Cross multiply
    7,882.22x = 11,827.08 × 4,919.86
  4. Step 4: Simplify right side
    7,882.22x = 58,187,577.81
  5. Step 5: Solve for x
    x = 58,187,577.81/7,882.22
  6. Step 6: Final answer
    x = 7,382.13

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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.