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Finding the Fourth Proportional to 8,101.87, 12,154.52 and 2,556.81

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Solution

The fourth proportional to 8,101.87, 12,154.52 and 2,556.81 is: 3,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.87 : 12,154.52 = 2,556.81 : x
  2. Step 2: Convert to fraction form
    8,101.87/12,154.52 = 2,556.81/x
  3. Step 3: Cross multiply
    8,101.87x = 12,154.52 × 2,556.81
  4. Step 4: Simplify right side
    8,101.87x = 31,076,804.67
  5. Step 5: Solve for x
    x = 31,076,804.67/8,101.87
  6. Step 6: Final answer
    x = 3,835.76

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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.