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Finding the Fourth Proportional to 7,612, 11,422.80 and 2,994.88

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Solution

The fourth proportional to 7,612, 11,422.80 and 2,994.88 is: 4,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612 : 11,422.80 = 2,994.88 : x
  2. Step 2: Convert to fraction form
    7,612/11,422.80 = 2,994.88/x
  3. Step 3: Cross multiply
    7,612x = 11,422.80 × 2,994.88
  4. Step 4: Simplify right side
    7,612x = 34,209,915.26
  5. Step 5: Solve for x
    x = 34,209,915.26/7,612
  6. Step 6: Final answer
    x = 4,494.21

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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.