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Finding the Fourth Proportional to 7,884.66, 11,829.69 and 2,694.18

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Solution

The fourth proportional to 7,884.66, 11,829.69 and 2,694.18 is: 4,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.66 : 11,829.69 = 2,694.18 : x
  2. Step 2: Convert to fraction form
    7,884.66/11,829.69 = 2,694.18/x
  3. Step 3: Cross multiply
    7,884.66x = 11,829.69 × 2,694.18
  4. Step 4: Simplify right side
    7,884.66x = 31,871,314.20
  5. Step 5: Solve for x
    x = 31,871,314.20/7,884.66
  6. Step 6: Final answer
    x = 4,042.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.