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Finding the Fourth Proportional to 8,409.48, 12,601.26 and 5,325

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Solution

The fourth proportional to 8,409.48, 12,601.26 and 5,325 is: 7,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.48 : 12,601.26 = 5,325 : x
  2. Step 2: Convert to fraction form
    8,409.48/12,601.26 = 5,325/x
  3. Step 3: Cross multiply
    8,409.48x = 12,601.26 × 5,325
  4. Step 4: Simplify right side
    8,409.48x = 67,101,709.50
  5. Step 5: Solve for x
    x = 67,101,709.50/8,409.48
  6. Step 6: Final answer
    x = 7,979.29

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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.