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Finding the Fourth Proportional to 11,973.62, 17,952.10 and 5,306.50

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Solution

The fourth proportional to 11,973.62, 17,952.10 and 5,306.50 is: 7,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.62 : 17,952.10 = 5,306.50 : x
  2. Step 2: Convert to fraction form
    11,973.62/17,952.10 = 5,306.50/x
  3. Step 3: Cross multiply
    11,973.62x = 17,952.10 × 5,306.50
  4. Step 4: Simplify right side
    11,973.62x = 95,262,818.65
  5. Step 5: Solve for x
    x = 95,262,818.65/11,973.62
  6. Step 6: Final answer
    x = 7,956.06

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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.