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Finding the Fourth Proportional to 11,957.90, 17,930.02 and 3,635.46

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Solution

The fourth proportional to 11,957.90, 17,930.02 and 3,635.46 is: 5,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.90 : 17,930.02 = 3,635.46 : x
  2. Step 2: Convert to fraction form
    11,957.90/17,930.02 = 3,635.46/x
  3. Step 3: Cross multiply
    11,957.90x = 17,930.02 × 3,635.46
  4. Step 4: Simplify right side
    11,957.90x = 65,183,870.51
  5. Step 5: Solve for x
    x = 65,183,870.51/11,957.90
  6. Step 6: Final answer
    x = 5,451.11

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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.