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Finding the Fourth Proportional to 8,082.99, 11,158.16 and 5,283.63

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Solution

The fourth proportional to 8,082.99, 11,158.16 and 5,283.63 is: 7,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.99 : 11,158.16 = 5,283.63 : x
  2. Step 2: Convert to fraction form
    8,082.99/11,158.16 = 5,283.63/x
  3. Step 3: Cross multiply
    8,082.99x = 11,158.16 × 5,283.63
  4. Step 4: Simplify right side
    8,082.99x = 58,955,562.50
  5. Step 5: Solve for x
    x = 58,955,562.50/8,082.99
  6. Step 6: Final answer
    x = 7,293.78

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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.