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Finding the Fourth Proportional to 7,874.19, 11,812.37 and 2,327.97

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Solution

The fourth proportional to 7,874.19, 11,812.37 and 2,327.97 is: 3,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.19 : 11,812.37 = 2,327.97 : x
  2. Step 2: Convert to fraction form
    7,874.19/11,812.37 = 2,327.97/x
  3. Step 3: Cross multiply
    7,874.19x = 11,812.37 × 2,327.97
  4. Step 4: Simplify right side
    7,874.19x = 27,498,831.35
  5. Step 5: Solve for x
    x = 27,498,831.35/7,874.19
  6. Step 6: Final answer
    x = 3,492.27

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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.