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Finding the Fourth Proportional to 8,043.54, 12,048.78 and 3,871.24

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Solution

The fourth proportional to 8,043.54, 12,048.78 and 3,871.24 is: 5,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.54 : 12,048.78 = 3,871.24 : x
  2. Step 2: Convert to fraction form
    8,043.54/12,048.78 = 3,871.24/x
  3. Step 3: Cross multiply
    8,043.54x = 12,048.78 × 3,871.24
  4. Step 4: Simplify right side
    8,043.54x = 46,643,719.09
  5. Step 5: Solve for x
    x = 46,643,719.09/8,043.54
  6. Step 6: Final answer
    x = 5,798.90

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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.