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Finding the Fourth Proportional to 7,892.64, 11,826 and 2,695.68

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Solution

The fourth proportional to 7,892.64, 11,826 and 2,695.68 is: 4,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.64 : 11,826 = 2,695.68 : x
  2. Step 2: Convert to fraction form
    7,892.64/11,826 = 2,695.68/x
  3. Step 3: Cross multiply
    7,892.64x = 11,826 × 2,695.68
  4. Step 4: Simplify right side
    7,892.64x = 31,879,111.68
  5. Step 5: Solve for x
    x = 31,879,111.68/7,892.64
  6. Step 6: Final answer
    x = 4,039.09

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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.