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Finding the Fourth Proportional to 7,673.10, 11,512.08 and 2,742.63

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Solution

The fourth proportional to 7,673.10, 11,512.08 and 2,742.63 is: 4,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.10 : 11,512.08 = 2,742.63 : x
  2. Step 2: Convert to fraction form
    7,673.10/11,512.08 = 2,742.63/x
  3. Step 3: Cross multiply
    7,673.10x = 11,512.08 × 2,742.63
  4. Step 4: Simplify right side
    7,673.10x = 31,573,304.70
  5. Step 5: Solve for x
    x = 31,573,304.70/7,673.10
  6. Step 6: Final answer
    x = 4,114.81

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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.