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Finding the Fourth Proportional to 7,874.66, 11,814.69 and 2,684.18

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Solution

The fourth proportional to 7,874.66, 11,814.69 and 2,684.18 is: 4,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.66 : 11,814.69 = 2,684.18 : x
  2. Step 2: Convert to fraction form
    7,874.66/11,814.69 = 2,684.18/x
  3. Step 3: Cross multiply
    7,874.66x = 11,814.69 × 2,684.18
  4. Step 4: Simplify right side
    7,874.66x = 31,712,754.60
  5. Step 5: Solve for x
    x = 31,712,754.60/7,874.66
  6. Step 6: Final answer
    x = 4,027.19

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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.