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Finding the Fourth Proportional to 11,798.72, 17,698.80 and 3,033.92

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Solution

The fourth proportional to 11,798.72, 17,698.80 and 3,033.92 is: 4,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.72 : 17,698.80 = 3,033.92 : x
  2. Step 2: Convert to fraction form
    11,798.72/17,698.80 = 3,033.92/x
  3. Step 3: Cross multiply
    11,798.72x = 17,698.80 × 3,033.92
  4. Step 4: Simplify right side
    11,798.72x = 53,696,743.30
  5. Step 5: Solve for x
    x = 53,696,743.30/11,798.72
  6. Step 6: Final answer
    x = 4,551.07

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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.