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Finding the Fourth Proportional to 11,815.92, 17,710.92 and 5,964.48

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Solution

The fourth proportional to 11,815.92, 17,710.92 and 5,964.48 is: 8,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.92 : 17,710.92 = 5,964.48 : x
  2. Step 2: Convert to fraction form
    11,815.92/17,710.92 = 5,964.48/x
  3. Step 3: Cross multiply
    11,815.92x = 17,710.92 × 5,964.48
  4. Step 4: Simplify right side
    11,815.92x = 105,636,428.12
  5. Step 5: Solve for x
    x = 105,636,428.12/11,815.92
  6. Step 6: Final answer
    x = 8,940.18

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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.