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Finding the Fourth Proportional to 7,581.16, 11,375.04 and 2,654.34

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Solution

The fourth proportional to 7,581.16, 11,375.04 and 2,654.34 is: 3,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.16 : 11,375.04 = 2,654.34 : x
  2. Step 2: Convert to fraction form
    7,581.16/11,375.04 = 2,654.34/x
  3. Step 3: Cross multiply
    7,581.16x = 11,375.04 × 2,654.34
  4. Step 4: Simplify right side
    7,581.16x = 30,193,223.67
  5. Step 5: Solve for x
    x = 30,193,223.67/7,581.16
  6. Step 6: Final answer
    x = 3,982.67

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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.