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Finding the Fourth Proportional to 8,271.87, 11,416.97 and 5,087.88

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Solution

The fourth proportional to 8,271.87, 11,416.97 and 5,087.88 is: 7,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.87 : 11,416.97 = 5,087.88 : x
  2. Step 2: Convert to fraction form
    8,271.87/11,416.97 = 5,087.88/x
  3. Step 3: Cross multiply
    8,271.87x = 11,416.97 × 5,087.88
  4. Step 4: Simplify right side
    8,271.87x = 58,088,157.42
  5. Step 5: Solve for x
    x = 58,088,157.42/8,271.87
  6. Step 6: Final answer
    x = 7,022.37

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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.