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Finding the Fourth Proportional to 7,851.62, 11,777.44 and 2,379.62

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Solution

The fourth proportional to 7,851.62, 11,777.44 and 2,379.62 is: 3,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.62 : 11,777.44 = 2,379.62 : x
  2. Step 2: Convert to fraction form
    7,851.62/11,777.44 = 2,379.62/x
  3. Step 3: Cross multiply
    7,851.62x = 11,777.44 × 2,379.62
  4. Step 4: Simplify right side
    7,851.62x = 28,025,831.77
  5. Step 5: Solve for x
    x = 28,025,831.77/7,851.62
  6. Step 6: Final answer
    x = 3,569.43

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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.