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Finding the Fourth Proportional to 8,162.87, 11,265.64 and 4,806.50

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Solution

The fourth proportional to 8,162.87, 11,265.64 and 4,806.50 is: 6,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.87 : 11,265.64 = 4,806.50 : x
  2. Step 2: Convert to fraction form
    8,162.87/11,265.64 = 4,806.50/x
  3. Step 3: Cross multiply
    8,162.87x = 11,265.64 × 4,806.50
  4. Step 4: Simplify right side
    8,162.87x = 54,148,230.32
  5. Step 5: Solve for x
    x = 54,148,230.32/8,162.87
  6. Step 6: Final answer
    x = 6,633.48

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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.