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Finding the Fourth Proportional to 7,851.87, 11,776.86 and 2,229.66

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Solution

The fourth proportional to 7,851.87, 11,776.86 and 2,229.66 is: 3,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.87 : 11,776.86 = 2,229.66 : x
  2. Step 2: Convert to fraction form
    7,851.87/11,776.86 = 2,229.66/x
  3. Step 3: Cross multiply
    7,851.87x = 11,776.86 × 2,229.66
  4. Step 4: Simplify right side
    7,851.87x = 26,258,393.67
  5. Step 5: Solve for x
    x = 26,258,393.67/7,851.87
  6. Step 6: Final answer
    x = 3,344.22

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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.