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Finding the Fourth Proportional to 11,964.01, 17,946.01 and 5,382.50

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Solution

The fourth proportional to 11,964.01, 17,946.01 and 5,382.50 is: 8,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.01 : 17,946.01 = 5,382.50 : x
  2. Step 2: Convert to fraction form
    11,964.01/17,946.01 = 5,382.50/x
  3. Step 3: Cross multiply
    11,964.01x = 17,946.01 × 5,382.50
  4. Step 4: Simplify right side
    11,964.01x = 96,594,398.83
  5. Step 5: Solve for x
    x = 96,594,398.83/11,964.01
  6. Step 6: Final answer
    x = 8,073.75

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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.