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Finding the Fourth Proportional to 7,758.10, 11,630.22 and 2,824.29

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Solution

The fourth proportional to 7,758.10, 11,630.22 and 2,824.29 is: 4,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.10 : 11,630.22 = 2,824.29 : x
  2. Step 2: Convert to fraction form
    7,758.10/11,630.22 = 2,824.29/x
  3. Step 3: Cross multiply
    7,758.10x = 11,630.22 × 2,824.29
  4. Step 4: Simplify right side
    7,758.10x = 32,847,114.04
  5. Step 5: Solve for x
    x = 32,847,114.04/7,758.10
  6. Step 6: Final answer
    x = 4,233.91

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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.