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Finding the Fourth Proportional to 8,389, 11,584.76 and 5,410.20

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Solution

The fourth proportional to 8,389, 11,584.76 and 5,410.20 is: 7,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389 : 11,584.76 = 5,410.20 : x
  2. Step 2: Convert to fraction form
    8,389/11,584.76 = 5,410.20/x
  3. Step 3: Cross multiply
    8,389x = 11,584.76 × 5,410.20
  4. Step 4: Simplify right side
    8,389x = 62,675,868.55
  5. Step 5: Solve for x
    x = 62,675,868.55/8,389
  6. Step 6: Final answer
    x = 7,471.20

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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.