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Finding the Fourth Proportional to 8,609.57, 11,876.38 and 5,421.68

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Solution

The fourth proportional to 8,609.57, 11,876.38 and 5,421.68 is: 7,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.57 : 11,876.38 = 5,421.68 : x
  2. Step 2: Convert to fraction form
    8,609.57/11,876.38 = 5,421.68/x
  3. Step 3: Cross multiply
    8,609.57x = 11,876.38 × 5,421.68
  4. Step 4: Simplify right side
    8,609.57x = 64,389,931.92
  5. Step 5: Solve for x
    x = 64,389,931.92/8,609.57
  6. Step 6: Final answer
    x = 7,478.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.