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Finding the Fourth Proportional to 8,542.30, 12,813.40 and 3,977.46

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Solution

The fourth proportional to 8,542.30, 12,813.40 and 3,977.46 is: 5,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.30 : 12,813.40 = 3,977.46 : x
  2. Step 2: Convert to fraction form
    8,542.30/12,813.40 = 3,977.46/x
  3. Step 3: Cross multiply
    8,542.30x = 12,813.40 × 3,977.46
  4. Step 4: Simplify right side
    8,542.30x = 50,964,785.96
  5. Step 5: Solve for x
    x = 50,964,785.96/8,542.30
  6. Step 6: Final answer
    x = 5,966.17

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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.