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Finding the Fourth Proportional to 8,409.60, 11,600.08 and 5,224

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Solution

The fourth proportional to 8,409.60, 11,600.08 and 5,224 is: 7,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.60 : 11,600.08 = 5,224 : x
  2. Step 2: Convert to fraction form
    8,409.60/11,600.08 = 5,224/x
  3. Step 3: Cross multiply
    8,409.60x = 11,600.08 × 5,224
  4. Step 4: Simplify right side
    8,409.60x = 60,598,817.92
  5. Step 5: Solve for x
    x = 60,598,817.92/8,409.60
  6. Step 6: Final answer
    x = 7,205.91

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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.