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Finding the Fourth Proportional to 7,634.97, 11,443.22 and 3,935.18

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Solution

The fourth proportional to 7,634.97, 11,443.22 and 3,935.18 is: 5,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.97 : 11,443.22 = 3,935.18 : x
  2. Step 2: Convert to fraction form
    7,634.97/11,443.22 = 3,935.18/x
  3. Step 3: Cross multiply
    7,634.97x = 11,443.22 × 3,935.18
  4. Step 4: Simplify right side
    7,634.97x = 45,031,053.59
  5. Step 5: Solve for x
    x = 45,031,053.59/7,634.97
  6. Step 6: Final answer
    x = 5,898.00

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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.