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Finding the Fourth Proportional to 8,229.56, 11,333.99 and 7,110.14

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Solution

The fourth proportional to 8,229.56, 11,333.99 and 7,110.14 is: 9,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.56 : 11,333.99 = 7,110.14 : x
  2. Step 2: Convert to fraction form
    8,229.56/11,333.99 = 7,110.14/x
  3. Step 3: Cross multiply
    8,229.56x = 11,333.99 × 7,110.14
  4. Step 4: Simplify right side
    8,229.56x = 80,586,216.76
  5. Step 5: Solve for x
    x = 80,586,216.76/8,229.56
  6. Step 6: Final answer
    x = 9,792.29

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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.