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Finding the Fourth Proportional to 7,968.70, 11,953.04 and 2,422.02

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Solution

The fourth proportional to 7,968.70, 11,953.04 and 2,422.02 is: 3,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.70 : 11,953.04 = 2,422.02 : x
  2. Step 2: Convert to fraction form
    7,968.70/11,953.04 = 2,422.02/x
  3. Step 3: Cross multiply
    7,968.70x = 11,953.04 × 2,422.02
  4. Step 4: Simplify right side
    7,968.70x = 28,950,501.94
  5. Step 5: Solve for x
    x = 28,950,501.94/7,968.70
  6. Step 6: Final answer
    x = 3,633.03

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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.