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Finding the Fourth Proportional to 7,086.86, 10,633.75 and 5,020.14

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Solution

The fourth proportional to 7,086.86, 10,633.75 and 5,020.14 is: 7,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.86 : 10,633.75 = 5,020.14 : x
  2. Step 2: Convert to fraction form
    7,086.86/10,633.75 = 5,020.14/x
  3. Step 3: Cross multiply
    7,086.86x = 10,633.75 × 5,020.14
  4. Step 4: Simplify right side
    7,086.86x = 53,382,941.05
  5. Step 5: Solve for x
    x = 53,382,941.05/7,086.86
  6. Step 6: Final answer
    x = 7,532.67

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