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Finding the Fourth Proportional to 8,536.87, 11,782.70 and 5,740.75

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Solution

The fourth proportional to 8,536.87, 11,782.70 and 5,740.75 is: 7,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.87 : 11,782.70 = 5,740.75 : x
  2. Step 2: Convert to fraction form
    8,536.87/11,782.70 = 5,740.75/x
  3. Step 3: Cross multiply
    8,536.87x = 11,782.70 × 5,740.75
  4. Step 4: Simplify right side
    8,536.87x = 67,641,535.03
  5. Step 5: Solve for x
    x = 67,641,535.03/8,536.87
  6. Step 6: Final answer
    x = 7,923.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.