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Finding the Fourth Proportional to 7,673.62, 11,512.05 and 5,719.90

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Solution

The fourth proportional to 7,673.62, 11,512.05 and 5,719.90 is: 8,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.62 : 11,512.05 = 5,719.90 : x
  2. Step 2: Convert to fraction form
    7,673.62/11,512.05 = 5,719.90/x
  3. Step 3: Cross multiply
    7,673.62x = 11,512.05 × 5,719.90
  4. Step 4: Simplify right side
    7,673.62x = 65,847,774.80
  5. Step 5: Solve for x
    x = 65,847,774.80/7,673.62
  6. Step 6: Final answer
    x = 8,581.06

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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.