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Finding the Fourth Proportional to 7,016.50, 10,524.52 and 2,086.21

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Solution

The fourth proportional to 7,016.50, 10,524.52 and 2,086.21 is: 3,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.50 : 10,524.52 = 2,086.21 : x
  2. Step 2: Convert to fraction form
    7,016.50/10,524.52 = 2,086.21/x
  3. Step 3: Cross multiply
    7,016.50x = 10,524.52 × 2,086.21
  4. Step 4: Simplify right side
    7,016.50x = 21,956,358.87
  5. Step 5: Solve for x
    x = 21,956,358.87/7,016.50
  6. Step 6: Final answer
    x = 3,129.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.