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Finding the Fourth Proportional to 8,202.52, 11,324.12 and 5,416.12

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Solution

The fourth proportional to 8,202.52, 11,324.12 and 5,416.12 is: 7,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.52 : 11,324.12 = 5,416.12 : x
  2. Step 2: Convert to fraction form
    8,202.52/11,324.12 = 5,416.12/x
  3. Step 3: Cross multiply
    8,202.52x = 11,324.12 × 5,416.12
  4. Step 4: Simplify right side
    8,202.52x = 61,332,792.81
  5. Step 5: Solve for x
    x = 61,332,792.81/8,202.52
  6. Step 6: Final answer
    x = 7,477.31

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1.5x scale

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.