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Finding the Fourth Proportional to 11,973.12, 17,952 and 6,423.04

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Solution

The fourth proportional to 11,973.12, 17,952 and 6,423.04 is: 9,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.12 : 17,952 = 6,423.04 : x
  2. Step 2: Convert to fraction form
    11,973.12/17,952 = 6,423.04/x
  3. Step 3: Cross multiply
    11,973.12x = 17,952 × 6,423.04
  4. Step 4: Simplify right side
    11,973.12x = 115,306,414.08
  5. Step 5: Solve for x
    x = 115,306,414.08/11,973.12
  6. Step 6: Final answer
    x = 9,630.44

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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.