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Finding the Fourth Proportional to 8,268.16, 11,410.24 and 4,542.40

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Solution

The fourth proportional to 8,268.16, 11,410.24 and 4,542.40 is: 6,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.16 : 11,410.24 = 4,542.40 : x
  2. Step 2: Convert to fraction form
    8,268.16/11,410.24 = 4,542.40/x
  3. Step 3: Cross multiply
    8,268.16x = 11,410.24 × 4,542.40
  4. Step 4: Simplify right side
    8,268.16x = 51,829,874.18
  5. Step 5: Solve for x
    x = 51,829,874.18/8,268.16
  6. Step 6: Final answer
    x = 6,268.61

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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.