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Finding the Fourth Proportional to 11,324.57, 15,626.09 and 6,288.70

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Solution

The fourth proportional to 11,324.57, 15,626.09 and 6,288.70 is: 8,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.57 : 15,626.09 = 6,288.70 : x
  2. Step 2: Convert to fraction form
    11,324.57/15,626.09 = 6,288.70/x
  3. Step 3: Cross multiply
    11,324.57x = 15,626.09 × 6,288.70
  4. Step 4: Simplify right side
    11,324.57x = 98,267,682.61
  5. Step 5: Solve for x
    x = 98,267,682.61/11,324.57
  6. Step 6: Final answer
    x = 8,677.39

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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.