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Finding the Fourth Proportional to 8,078.24, 11,148.24 and 4,542.08

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Solution

The fourth proportional to 8,078.24, 11,148.24 and 4,542.08 is: 6,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.24 : 11,148.24 = 4,542.08 : x
  2. Step 2: Convert to fraction form
    8,078.24/11,148.24 = 4,542.08/x
  3. Step 3: Cross multiply
    8,078.24x = 11,148.24 × 4,542.08
  4. Step 4: Simplify right side
    8,078.24x = 50,636,197.94
  5. Step 5: Solve for x
    x = 50,636,197.94/8,078.24
  6. Step 6: Final answer
    x = 6,268.22

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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.